Geometry PYQ — Page 3

If the points X(2, -1), Y(3, k), Z(1, 4) are colinear, then the value of k is

The tops of two poles of height 25 m and 16 m are connected by a wire. If the wire makes an angle 30° with the vertical, then the distance between the two poles is

A boy was playing with a rectangular cardboard of dimensions 13 cm x 6 cm. While playing, he sliced off identical triangles from the corners of the cardboard in such a manner that a figure having all its sides equal was generated (as shown in the adjoining figure). The area of this six-sided figure is: 

The height of an equilateral triangle is $5\sqrt{3}$ cm, then its area is:

When a particular wire is bent into the shape of a square, then the area of the square turns out to be $81cm^2$. When the same wire is bent into a circle, then the radius of the circle (correct to two decimal places) is

Find the values and arrange in increasing order: (A) If each edge of a cube is increased by 20%, then the percentage increase in its volume is: (B) If the radius of a cylinder is increased by 20%, while height increase 10%, then the percentage increase in the volume of the cylinder (C) If each edge of a cube is increased by 20%, then the percentage increase in its surface area is: (D) If the radius of a sphere is increased by 10%, then the percentage increase in its volume is: Choose the correct order:

If the height of a pole is $8\sqrt{3}$ meters and the length of its shadow is 8 meters, then the angle of elevation of the sun is:

The area of a right-angled triangle with hypotenuse 17 cm and one side being 8 cm shall be:

The equation of the line which makes equal intercepts on the axis and passes through the point (2,5) shall be:

If the radius of a sphere is increased by 50%, find the percent increase in surface area.

How many meters of cloth 6 metre wide will be required to make a conical tent, the radius of whose base is 21m and height is 20m?

The perimeter of an isosceles triangle is 32 cm while its equal sides together measure 18 cm. Find the length of the other side

What is the slope of x - axis?

The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

If the slope of a line passing through the points A (2, 1) and B (3, y) is 4, then the value of y will be:

The angle of elevation of the sun, when the length of the shadow of a tower is 1/√3 times the height of the tower, is

If the areas of adjacent faces of a cuboid (rectangular prism) are in the ratio of 2: 3: 5 and its volume is 900 cm³, then the length of the longest side is

The tops of two poles of height 22 m and 31 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire (in m) is:

A right circular metal cone (solid) is 42 cm high and its radius is $\frac{21}{2}$ cm. It is melted and recast into a sphere. Then the radius of the sphere will be:

The number of diagonals in a Hexagon is:

If the slant height of a cone is decreased by 15 percent and the radius of its base is increased by 20 percent, then by what percent will its curved surface area change?

If the area of an equilateral triangle is $36\sqrt{3}$ cm², then the length of the side is:

The tops of two poles of height 38 m and 56 m are connected by a cable. If the cable makes an angle of 30° with the horizontal, then the distance between the bases of the poles is:

The sides of a triangle are in the ratio of $\frac{1}{4}:\frac{1}{5}:\frac{1}{6}$. If the perimeter of the triangle is 37 cm, then find the length of the greatest side of the triangle?