English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

The product of two successive integral multiples of 5 is 300. Then the numbers are:

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 ______.

Is 0.2 a root of the equation x² – 0.4 = 0? Justify

Find the roots of the following quadratic equation by the factorisation method:

`2x^2 + 5/3x - 2 = 0`

Find the roots of the following quadratic equation by the factorisation method:

`2/5x^2 - x - 3/5 = 0`

Find the roots of the following quadratic equation by the factorisation method:

`3x^2 + 5sqrt(5)x - 10 = 0`

Find the roots of the following quadratic equation by the factorisation method:

`3sqrt(2)x^2 - 5x - sqrt(2) = 0`

Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number.

A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.

A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.

If Zeba were younger by 5 years than what she really is, then the square of her age (in years) would have been 11 more than five times her actual age. What is her age now?

The distance of the point P(2, 3) from the x-axis is ______.

Point P(– 4, 2) lies on the line segment joining the points A(– 4, 6) and B(– 4, – 6).

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 ______.

Prove the following:

If tan A = `3/4`, then sinA cosA = `12/25`

A plumbline (sahul) is the combination of (see figure) ______.