List of top Questions asked in CBSE Class X- 2026

In \(\Delta\)ABC, P is a point on AB and Q is a point on AC such that PQ \(\parallel\) BC. If AP : PB = 3 : 2, then PQ : BC is equal to :

The ratio in which the x-axis divides the line segment joining the points A\(-8, 4\) and B\(-6, -2\) is :

If two tangents inclined at an angle of \(60^\circ\) are drawn from an external point to a circle of radius 6 cm, then the length of each tangent is :

The value of k for which the pair of linear equations \(kx - 3y = 5\), \(4x - 6y = 10\) has infinitely many solutions, is :

If \(x = \sqrt{3}\) is a solution of the equation \(ax^2 + \sqrt{3}x - 12 = 0\), then :

The fourth vertex D of a parallelogram ABCD whose three vertices are A\(-4, 1\), B\(4, 5\) and C\(6, 1\) is :

The nth term of an A.P. is \(3n + 2\). The common difference is :

The product of the H.C.F. and L.C.M. of two numbers 50 and 20 is :

What is the function of diaphragm in human respiratory system ? Where is it present in human body ?

Three coins are tossed together. The probability of getting exactly two tails is

What is 'yellow hair' a symbol of in "For Anne Gregory"? Discuss.

What is the TF-IDF (Term Frequency-Inverse Document Frequency) algorithm used for?

Explain the three domains of AI: Data Science, Computer Vision (CV), and Natural Language Processing (NLP).

Which of the plant hormones are responsible for the following processes? Promote cell division Inhibition of growth Detection of light Wilting of leaves

Briefly mention the steps in double-circulation through human heart.

In the given figure, \(\Delta ABC\) is a right-angled triangle with \(\angle A = 90^\circ\). AD is perpendicular to BC.

35(a)(i) Prove that \(\Delta DBA \sim \Delta DAC\)

Seema daily goes to a park to exercise on machines available there. When Seema spent 15 minutes on exercise bicycle and 30 minutes on double cross walker, she received a message of burning 435 calories on her fitness watch. When she spent 30 minutes on exercise bicycle and 40 minutes on double cross walker, she received a message of burning 690 calories. Based on above information, answer the following questions:

38(i) Represent the above situation in terms of a pair of linear equations in two variables.

Find the missing frequencies p and q in the following frequency distribution, when sum of frequencies is 40 and mean is 19 :

There are many varieties of mushrooms available in the world. One such mushroom ‘Amanita muscaria’ has a upper part which is like red cap (hemispherical) and lower part is like white stem (cylindrical). The hemispherical cap’s radius = 3 cm and cylindrical stem is 2 cm high with diameter 1.4 cm. Considering mushroom a solid object, answer the following questions:

36(i) What is the total height of a mushroom ?

In a circular museum hall of radius 14 m, some statues are displayed. Statues are kept inside the inner concentric circle of radius 7 m. One such statue lying in sector OAB, is fenced along line segments OA, AP, PB and BO where P is a point on outer circle. Based on above information, answer the following questions:

37(i) Find \(m\angle AOP\).

Find the H.C.F. and L.C.M. of 408 and 312.

In the given figure, two triangles ABC and PQR are shown such that \(\angle A = \angle P\) and \(\angle C = \angle R\). If \(AD \perp BC\) and \(PS \perp QR\), then prove that (i) \(\Delta ADB \sim \Delta PSQ\) (ii) \(AD \times QS = BD \times PS\).

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

Determine the ratio in which the line \(2x + y = 6\) divides the line segment joining the points (1, 3) and (2, 5).

In the given figure, PQ is a tangent to a circle with centre \(O(-5, 3)\). If coordinates of P and Q are \((3, 1)\) and \((0, 6)\) respectively, then using distance formula, show that \(PQ \perp OQ\).