64

Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,

  • Upload
    others

  • View
    1

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 2: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 3: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 4: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 5: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 6: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 7: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 8: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 9: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 10: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 11: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 12: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 13: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 14: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 15: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 16: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 17: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 18: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 19: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 20: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 21: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 22: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 23: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 24: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 25: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 26: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 27: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 28: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 29: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 30: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 31: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 32: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 33: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 34: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 35: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 36: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 37: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 38: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 39: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 40: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 41: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 42: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 43: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 44: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 45: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 46: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 47: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 48: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 49: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 50: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 51: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 52: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 53: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 54: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 55: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 56: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 57: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 58: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 59: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 60: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 61: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 62: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 63: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,
Page 64: Higher Mathematics class XII 2006 - images.jagran.comimages.jagran.com/jagranjosh/papers/U-P-Board-12th...If the position vectors of P and Q are 3i +3 j —7k and 3i —4 j + k respectively,