7/27/2019 GEOMETRY QUESTION PAPER II.pdf
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OMTEX CLASSES
Q1. Solve any six sub questions from the following. 6 marks
i. If and AB = 2.4 cm, DE = 1.6 cm, then find ratio of areas of
and [Ans. 9:4]ii. In the figure, if m(arc BPC) = 600. Then find
[Ans. 300]iii. Draw a tangent at any point P on the circle of
radius 3 cm.iv.
If then find the value of [Ans. ]
v. Find the value of if terminal arm passes through the point (1
, - 1 ) [Ans. ]vi. Find the slope of the line passing through the
points A( 0 , -5) and B(1 , 2) [Ans. Slope = 7]vii. Find the area
of the sector of circle of radius 5 cm and arc with length 10 cm.
[Ans. 25 sq. Cm.]
Q2. Solve any five sub questions from the following. 10
MARKS
i. Draw the circum circle of in which XY = 5.4 cm and and .ii.
For a person standing at a distance of 80 m, from a church, the
angle of elevation of its top is measure 450, find the
height of the church. [Ans. 80 m]
iii. In the figure, AB = 6, AO = 4, CD = 3, then OD = ? [Ans.
2]iv. A( 0 , 0 ), B( 7 , 2 ), C( 7 , 7 ), D( 2 , 7 ) are the
vertices of a quadrilateral
find the slope of each diagonal. [Ans. Slopes are 1, -1]
v. The perimeter of one face of a cube is 24 cm. Finda. The
total area of 6 faces [Ans. 216 sq.cm]b. The volume of the cube.
[Ans. 216 cu.cm.]
vi. Find the volume and surface area of s sphere of radius 4.2
cm. [Ans. 221.76 sq. Cm. 310.464 cu. cm ]Q3. Solve any four sub
Questions from the following. 12 MARKS
i. Prove that If the angles of a triangle are , then each of the
perpendicular sides is times thehypotenuse.
ii. Two circles which are not congruent touch externally the sum
of their areas is sq. Cm. And the distance betweentheir centres is
14 cm. Find radii of circles. [Ans. 3 & 11 cm.]
iii. Find the possible values of sinx if 8 sinx cosx = 4. [Ans.
Sinx = ]iv. The equation of a line is . It intersects axis in point
A and Y axis in point B. Find the co ordinates
of points A and B. Find the length of AB. [Ans. (- 4 , 0)0 ,
3)]
v. The radius of teh base of a right circular cylinder is 3 cm.
And height is 7 cm, finda. Curved surface area [Ans. 132 sq. Cm]b.
Total surface area [Ans. 188.57 sq. Cm]c. Volume of the right
circular cylinder. [Ans. 198 cu. cm]
Q4. Theorems. [Attempt any 5 of the following] 25 MARKS
i. Prove that the ratio of areas of two similar triangles is
equal to the square of the ratio of their corresponding sides.ii.
Prove that the sum of the squares of the diagonals of a
parallelogram is equal to the sum of the squares of its sides.iii.
If a line divides two sides of a triangle in the same ratio, then
the line is parallel to the third side.iv. If a line parallel to
one side of a triangle intersects the other two sides in two
distinct points, then the other two sides
are divided in the same ratio by it.
v. In a right angled triangle, the square of the hypotenuse is
equal to the sum of the squares of the other two sides.vi. If the
angles of a triangle are 300, 600 and 900, then the side opposite
to 300 is half of the hypotenuse and that oposite
to 600
is times the hypotenuse.
