List of top Mathematics Questions asked in CBSE Class X

If \(\triangle ABC \sim \triangle ADE\) in the adjoining figure, then which of the following is true?

In the adjoining figure, if \(EA \parallel SR\) and \(PE = x\) cm, then the value of \(5x\) is :

Which of the following graphs represents a polynomial with both zeroes being positive?

The system of equations \(x = 2\) and \(x = 3\) has:

The numbers \(x\), \(x+4\) and \(x+8\) are in A.P. with common difference:

Which of the following statements is not true?

If \(\sqrt{3} \sin A = \cos A\), then the measure of \(A\) is :

In the adjoining figure, the angle of elevation of the point C from the point B, is :

In the adjoining figure, the slant height of the conical part is :

The upper limit of the median class of the above data is :

Assertion (A): From a bag containing 5 red balls, 2 white balls and 3 green balls, the probability of drawing a non-white ball is \(\frac{4}{5}\).
Reason (R): For any event E, \(P(E) + P(\text{not } E) = 1\)

Assertion (A): \(7 \times 2 + 3\) is a composite number.
Reason (R): A composite number has more than two factors.

Find the coordinates of the point which divides the line segment joining the points A (-6, 10) and B (3, -8) in the ratio 2 : 7.

One zero of a quadratic polynomial is twice the other. If the sum of zeroes is (-6), find the polynomial.

If one zero of the polynomial \(x^2 - 5x - c\) is (-1), find the value of c. Also, find the other zero.

In the adjoining figure, \(AP = \frac{1}{2} AB\) and \(PQ \parallel BC\). If \(CQ = 3\) cm, then find the length of AC.

Evaluate : \(\sin^2 30^\circ - \cos^2 45^\circ + \cot^2 60^\circ\)

If \(\sin(A + 2B) = 2 \cos 60^\circ\) and \(A = 3B\), find the measures of A and B.

A box consists of 60 wall clocks, out of which 40 are good, 15 have minor defects and the remaining are broken. What is the probability that
(i) the box will be rejected?
(ii) the clock has minor defect?

Given that \(\sqrt{5}\) is an irrational number, prove that \(3 + 2\sqrt{5}\) is also an irrational number.

Solve the following system of equations graphically : \(x + 3y = 6\) and \(2x - 3y = 12\). Also, find the area of the triangle formed by the lines \(x + 3y = 6\), \(x = 0\) and \(y = 0\).

One of the supplementary angles exceeds the other by 120°. Express this as a system of linear equations and find the angles.

If the point P (x, y) is equidistant from the points (3, 6) and (-3, 4), obtain the relation between x and y. Hence, find the coordinates of point P if it lies on x-axis.

Prove that : \(\frac{\sin A - \tan A}{\sin A + \tan A} = \frac{1 - \sec A}{1 + \sec A}\)

Prove that the lengths of tangents drawn from an external point to a circle are equal.