• 256 sq. cm.

• 250 sq. cm.

• 128 sq. cm.

• 128 sq. cm.

82.

X and Y are centres of circles of radii 9cm and 2 cm respectively, XY = 17cm. Z is the centre of a circle of radius r cm which touches the above circles externally. Given that  the value of r is

• 13 cm

• 6 cm

• 9 cm

• 9 cm

I is the incentre of a triangle ABC. If  and  then the value of  is

• 130°

• 120°

• 140°

• 140°

If the radii of two circles be 6 cm and 3 cm and the length of the transverse common tangent be 8 cm, then the distance between the two centres is

The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between their interior angles is 2 : 3. The number of sides of these polygons is respectively.

• 6, 12

• 5, 10

• 4, 8

• 4, 8

Two posts are x metres apart and the height of one is double that of the other. If from the mid-point of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in metres) of the shorter post is

If θ is a positive acute angle and tan 2θ tan 3θ = 1, then the value of 
 is

• 

• 1

• 0

• 0

If  then the value of  is

In a right-angled triangle, XYZ, right-angled at Y, If  and XZ - YZ = 2, then sec X + tan X is

If , the value of sin θ + cos θ is

• equal to 1

• greater than 1

• less than 1

• less than 1