List of top Questions asked in CBSE Class X

In the given figure, a circle is centred at (1, 2). The diameter of the circle is
Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is
The value of k for which the system of linear equations kx – y – 2 = 0 and 6x – 2y – 3 = 0 has infinitely many solutions, is (does)
In the given figure, DE \(\parallel\) BC. If \(\frac{AD}{DB} = \frac{1}{3}\) and AC = 6 cm, then length AE is
If the quadratic equation \(9x^2 + 8kx + 16 = 0\) has real and equal roots, then the value of k is
Three tennis balls are just packed in a cylindrical jar. If radius of each ball is r, volume of air inside the jar is
\(\frac{1 + \tan^2 A}{1 + \cot^2 A}\) equals to :
ABCD is a parallelogram such that AF = 7 cm, FB = 3 cm and EF = 4 cm, length FD = equals
Assertion (A) : If probability of happening of an event is 0.2p, p $\gt $ 0, then p can’t be more than 5.
Reason (R) : P( \(\overline{E}\) ) = 1 – P(E) for an event E.
A circle centred at (–1, 2) passes through the point (0, 3). Radius of the circle is
Observe the graph of polynomial p(x). Number of zeroes of p(x) is
If 2 tan A = 3, then value of sec A equals
If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of k is
An ice-cream cone of radius r and height h is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then h : 2r equals
It is given that \(\Delta ABC \sim \Delta EDF\). Which of the following is not true ?
In the given figure, a circle is centred at (1, 2). The diameter of the circle is
Two different dice are rolled together. The probability that both the obtained numbers are less than 4, is
PQ is tangent to a circle with centre O. If \(\angle POR = 65^\circ\), then m\(\angle PTR\) is
Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is
Arc PQ subtends an angle \(\theta\) at the centre of the circle with radius 6.3 cm. If PQ = 11 cm, then the value of \(\theta\) is
Assertion (A) : (\(\sqrt{3}\) + \(\sqrt{5}\)) is an irrational number.
Reason (R) : Sum of the any two irrational numbers is always irrational.
If PQ and PR are tangents to the circle with centre O and radius 4 cm such that \(\angle QPR = 90^\circ\), then the length OP is
Area of sector of a circle with radius 18 cm is 198 cm\(^2\). The measure of central angle is
The value of k for which the system of linear equations \(\frac{x}{2} + \frac{y}{3} = 5\) and \(2x + ky = 7\) is inconsistent, is
In an A.P., a = –3 and S\(_{17}\) = 357. The value of a\(_{17}\) is