Questions Archive - Page 116 Of 158

Question

Melting a solid Lead sphere of diameter 12 cm, three small solid spheres are made. If the ratio of the diameter of the small spheres is 3 : 4 : 5 then find the radius of each small sphere.

Melting a solid Lead sphere of diameter 12 cm, three small solid spheres are made. If the ratio of the diameter of…

13/10/2025

Question

The height of a right circular cylinder is twice the radius of the base. If the height is 6 times of the radius, then the volume of the cylinder is 539 cubic decimeter more than the previous volume. Find the height of the cylinder.

The height of a right circular cylinder is twice the radius of the base. If the height is 6 times of the…

13/10/2025

Question

Curved surface area of a right circular cone is 154√2 sq cm and radius of the base 7 cm. Find its vertical angle.

Curved surface area of a right circular cone is 154√2 sq cm and radius of the base 7 cm. Find its vertical…

13/10/2025

Question

Distance between two pillars is 150 m, height of one pillar is three times the other pillar. From the mid-point of the line joining their foot the angles of elevation of the top of the two pillars are complementary. Find the height of the smaller pillar.

Distance between two pillars is 150 m, height of one pillar is three times the other pillar. From the mid-point of the…

13/10/2025

Question

From the middle of a ground Habu observes a flying bird toward north at an angle of elevation 30°, after 2 minutes he observes the same bird at an angle of elevation 60° toward south. If the bird always flies in a straight line at height 50√3 meters from the ground level, find its velocity.

From the middle of a ground Habu observes a flying bird toward north at an angle of elevation 30°, after 2 minutes…

13/10/2025

Question

Two unequal arcs of ratio 5 : 2 of a circle subtend angle at the centre. If the second angle is 30°, find the first angle in circular measure.

Two unequal arcs of ratio 5 : 2 of a circle subtend angle at the centre. If the second angle is 30°,…

13/10/2025

Question

If tan θ = 5/7, find the value of (5 sin θ + 7 cos θ)/(7 sin θ + 5 cos θ)

If tan θ = , find the value of

13/10/2025

Question

If sin x = m sin y and tan x = n tan y, then show that cos² x = (m² – 1)/(n² – 1)

If sin x = m sin y and tan x = n tan y, then show that cos² x =

13/10/2025

Question

Draw a triangle whose sides are of lengths 6 cm, 8 cm, and 10 cm. Draw the incircle of this triangle.

13/10/2025

Question

Find the value of 2√3 geometrically.

13/10/2025

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Melting a solid Lead sphere of diameter 12 cm, three small solid spheres are made. If the ratio of the diameter of the small spheres is 3 : 4 : 5 then find the radius of each small sphere.

The height of a right circular cylinder is twice the radius of the base. If the height is 6 times of the radius, then the volume of the cylinder is 539 cubic decimeter more than the previous volume. Find the height of the cylinder.

Curved surface area of a right circular cone is 154√2 sq cm and radius of the base 7 cm. Find its vertical angle.

Distance between two pillars is 150 m, height of one pillar is three times the other pillar. From the mid-point of the line joining their foot the angles of elevation of the top of the two pillars are complementary. Find the height of the smaller pillar.

From the middle of a ground Habu observes a flying bird toward north at an angle of elevation 30°, after 2 minutes he observes the same bird at an angle of elevation 60° toward south. If the bird always flies in a straight line at height 50√3 meters from the ground level, find its velocity.

Two unequal arcs of ratio 5 : 2 of a circle subtend angle at the centre. If the second angle is 30°, find the first angle in circular measure.

If tan θ = 5/7, find the value of (5 sin θ + 7 cos θ)/(7 sin θ + 5 cos θ)

If sin x = m sin y and tan x = n tan y, then show that cos² x = (m² – 1)/(n² – 1)

Draw a triangle whose sides are of lengths 6 cm, 8 cm, and 10 cm. Draw the incircle of this triangle.

Find the value of 2√3 geometrically.

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