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CBSE Class X
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Mathematics
List of top Mathematics Questions asked in CBSE Class X
If 2 sin A = 1, then the value of tan A + cot A is :
CBSE Class X - 2026
CBSE Class X
Mathematics
Trigonometry
How many zeroes does p(x) = (x $-$ 2)(x + 3) have ?
CBSE Class X - 2026
CBSE Class X
Mathematics
Polynomials
Which of the following sequence is not an A.P. ?
CBSE Class X - 2026
CBSE Class X
Mathematics
Arithmetic Progression
The area of a semicircle of diameter 'd' is :
CBSE Class X - 2026
CBSE Class X
Mathematics
Areas Related to Circles
In the given figure \(\triangle\)ABC is shown, in which DE \(\parallel\) BC. If AD = 5 cm, DB = 2.5 cm and DE = 8 cm, then the length of BC is :
CBSE Class X - 2026
CBSE Class X
Mathematics
Triangles
In the given figure, XY || QR, \(\frac{PQ}{XQ} = \frac{7}{3}\) and PR = 6.3 cm. Find the length of YR.
CBSE Class X - 2026
CBSE Class X
Mathematics
Triangles
If tan A = \(\frac{4}{3}\), find sin A and cos A.
CBSE Class X - 2026
CBSE Class X
Mathematics
Trigonometry
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
CBSE Class X - 2026
CBSE Class X
Mathematics
Surface Areas and Volumes
A camping tent in hemispherical shape of radius \(1.4\) m, has a door opening of area \(0.50\) \(\text{m}^2\). Outer surface area of the tent is
CBSE Class X - 2026
CBSE Class X
Mathematics
Surface Areas and Volumes
Express cos A and tan A in terms of sin A.
CBSE Class X - 2026
CBSE Class X
Mathematics
Trigonometric Identities
The three vertices of a rhombus PQRS are P(2, \(-\)3), Q(6, 5) and R(\(-\)2, 1). Find the coordinates of the fourth vertex S and coordinates of the point where both the diagonals PR and QS intersect.
CBSE Class X - 2026
CBSE Class X
Mathematics
Coordinate Geometry
Two different dice are thrown together. Find the probability that the numbers obtained have : (i) even sum, (ii) even product.
CBSE Class X - 2026
CBSE Class X
Mathematics
Probability
The length of hypotenuse (in cm) of a right-angled triangle is 6 cm more than twice the length of its shortest side. If the length of its third side is 6 cm less than thrice the length of its shortest side, find the dimensions of the triangle.
CBSE Class X - 2026
CBSE Class X
Mathematics
Quadratic Equations
If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is
CBSE Class X - 2026
CBSE Class X
Mathematics
Coordinate Geometry
Arc \(PQ\) subtends an angle \(\theta\) at the centre of the circle with radius \(6.3 \text{ cm}\). If \(\text{Arc } PQ = 11 \text{ cm}\), then the value of \(\theta\) is
CBSE Class X - 2026
CBSE Class X
Mathematics
Mensuration
\(\frac{1 + \tan^2 A}{1 + \cot^2 A}\) equals to:
CBSE Class X - 2026
CBSE Class X
Mathematics
Trigonometry
Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is
CBSE Class X - 2026
CBSE Class X
Mathematics
Surface Areas and Volumes
Two different dice are rolled together. The probability that both the obtained numbers are less than 4, is
CBSE Class X - 2026
CBSE Class X
Mathematics
Probability
\(PQ\) is tangent to a circle with centre \(O\). If \(\angle POR = 65^{\circ}\), then \(m\angle OPR\) is
CBSE Class X - 2026
CBSE Class X
Mathematics
Coordinate Geometry
A circle centred at \((-1, 2)\) passes through the point \((0, 3)\). Radius of the circle is
CBSE Class X - 2026
CBSE Class X
Mathematics
Coordinate Geometry
It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?
CBSE Class X - 2026
CBSE Class X
Mathematics
Triangles
If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of \(k\) is
CBSE Class X - 2026
CBSE Class X
Mathematics
Quadratic Equations
Observe the graph of polynomial \(p(x)\). Number of zeroes of \(p(x)\) is
CBSE Class X - 2026
CBSE Class X
Mathematics
Polynomials
Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is
CBSE Class X - 2026
CBSE Class X
Mathematics
Statistics
Area of sector of a circle with radius \(18 \text{ cm}\) is \(198 \text{ cm}^2\). The measure of central angle is
CBSE Class X - 2026
CBSE Class X
Mathematics
Mensuration
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