English Medium कक्षा १० - CBSE Question Bank Solutions

If sin 2A = `1/2` tan² 45° where A is an acute angle, then the value of A is ______.

`(sin theta)/(1 + cos theta)` is ______.

If x sin (90° – θ) cot (90° – θ) = cos (90° – θ), then x is equal to ______.

The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is ______.

If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to ______.

If sin θ + sin² θ = 1, then cos² θ + cos⁴ θ = ______.

5 tan² A – 5 sec² A + 1 is equal to ______.

In the figure given below, ABCD is a square of side 14 cm with E, F, G and H as the mid points of sides AB, BC, CD and DA respectively. The area of the shaded portion is ______.

If the surface areas of two spheres are in ratio 16 : 9, then their volumes will be in the ratio ______.

If the volumes of a cube is 1728 cm³, the length of its edge is equal to ______.

The radius of spherical balloon increases from 8 cm to 12 cm. The ratio of the surface areas of balloon in two cases is ______.

Two cubes each of volume 8 cm³ are joined end to end, then the surface area of the resulting cuboid is ______.

The total surface area of a solid hemisphere of radius r is ________.

Eight solid sphere of same size are made by melting a solid metallic cylinder of base diameter 6 cm and height 32 cm. The diameter of each sphere is ______.

The curved surface area of glass having radii 3 cm and 4 cm respectively and slant height 10 cm is ______.

If two solid hemispheres of the same base radius r are joined together along their bases, then curved surface area of this new solid is ______.

If cos A = `4/5`, then the value of tan A is ______.

If sin A = `1/2`, then the value of cot A is ______.

Given that sinα = `1/2` and cosβ = `1/2`, then the value of (α + β) is ______.

The value of the expression `[(sin^2 22^circ + sin^2 68^circ)/(cos^2 22^circ + cos^2 68^circ) + sin^2 63^circ + cos 63^circ sin 27^circ]` is ______.