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Mathematics
List of top Mathematics Questions
If the system of linear equations
\(x - 2y + z = -4\)
;
\(2x + αy + 3z = 5\)
and
\(3x - y + βz = 3\)
has infinitely many solutions then
\(12α + 13β\)
is equal to
JEE Main - 2024
JEE Main
Mathematics
Linear Programming Problem and its Mathematical Formulation
If \(2x + y = 35\) and \(3x + 4y = 65\), then the value of \(\frac{x}{y}\) is
JEECUP - 2024
JEECUP
Mathematics
Linear Equations
The value of \( \sqrt[3]{72.9} \) is:
JEECUP - 2024
JEECUP
Mathematics
Cube Roots
The value of \( \frac{\cos 20^\circ \cos 70^\circ - \sin 20^\circ}{\sin 70^\circ} \) is:
JEECUP - 2024
JEECUP
Mathematics
Trigonometry
For what value of \(k\), the product of zeroes of the polynomial \(kx^2 - 4x - 7\) is 2?
CBSE Class X - 2024
CBSE Class X
Mathematics
Polynomials
In an A.P., if \(a = 8\) and \(a_{10} = -19\), then value of \(d\) is:
CBSE Class X - 2024
CBSE Class X
Mathematics
Arithmetic Progression
The mid-point of the line segment joining the points \((-1, 3)\) and \(\left(8, \frac{3}{2}\right)\) is:
CBSE Class X - 2024
CBSE Class X
Mathematics
Coordinate Geometry
If \(\sin \theta = \frac{1}{3}\), then \(\sec \theta\) is equal to:
CBSE Class X - 2024
CBSE Class X
Mathematics
Trigonometry
HCF \((132, 77)\) is:
CBSE Class X - 2024
CBSE Class X
Mathematics
Some Problems on HCF and LCM
If the roots of quadratic equation \(4x^2 - 5x + k = 0\) are real and equal, then value of \(k\) is:
CBSE Class X - 2024
CBSE Class X
Mathematics
Quadratic Equations
If probability of winning a game is \(p\), then probability of losing the game is:
CBSE Class X - 2024
CBSE Class X
Mathematics
Probability
The distance between the points \((2, -3)\) and \((-2, 3)\) is:
CBSE Class X - 2024
CBSE Class X
Mathematics
Coordinate Geometry
For what value of \(\theta\), \(\sin^2\theta + \sin\theta + \cos^2\theta\) is equal to 2?
CBSE Class X - 2024
CBSE Class X
Mathematics
Trigonometry
A card is drawn from a well-shuffled deck of 52 playing cards. The probability that drawn card is a red queen, is:
CBSE Class X - 2024
CBSE Class X
Mathematics
Probability
If a certain variable \(x\) divides a statistical data arranged in order into two equal parts; then the value of \(x\) is called the:
CBSE Class X - 2024
CBSE Class X
Mathematics
Statistics
The radius of a sphere is \(\frac{7}{2}\) cm. The volume of the sphere is:
CBSE Class X - 2024
CBSE Class X
Mathematics
Surface Areas and Volumes
The mean and median of a statistical data are 21 and 23 respectively. The mode of the data is:
CBSE Class X - 2024
CBSE Class X
Mathematics
Statistics
The height and radius of a right circular cone are 24 cm and 7 cm respectively. The slant height of the cone is:
CBSE Class X - 2024
CBSE Class X
Mathematics
Surface Areas and Volumes
If one of the zeroes of the quadratic polynomial \((\alpha - 1)x^2 + \alpha x + 1\) is \(-3\), then the value of \(\alpha\) is:
CBSE Class X - 2024
CBSE Class X
Mathematics
Polynomials
The diameter of a circle is of length 6 cm. If one end of the diameter is \((-4, 0)\), the other end on \(x\)-axis is at:
CBSE Class X - 2024
CBSE Class X
Mathematics
Coordinate Geometry
The value of \(k\) for which the pair of linear equations \(5x + 2y - 7 = 0\) and \(2x + ky + 1 = 0\) don't have a solution, is:
CBSE Class X - 2024
CBSE Class X
Mathematics
Linear Equations in two variables
Two dice are rolled together. The probability of getting a doublet is:
CBSE Class X - 2024
CBSE Class X
Mathematics
Probability
Assertion (A):
If the PA and PB are tangents drawn to a circle with center O from an external point P, then the quadrilateral OAPB is a cyclic quadrilateral.
Reason (R):
In a cyclic quadrilateral, opposite angles are equal.
CBSE Class X - 2024
CBSE Class X
Mathematics
Tangent to a Circle
Assertion (A):
Zeroes of a polynomial
\(p(x) = x^2 − 2x − 3\)
are -1 and 3.
Reason (R):
The graph of polynomial
\(p(x) = x^2 − 2x − 3\)
intersects the x-axis at (-1, 0) and (3, 0).
CBSE Class X - 2024
CBSE Class X
Mathematics
Polynomials
\(D\) is a point on the side \(BC\) of \(\triangle ABC\) such that \(\angle ADC = \angle BAC\). Show that:
\(AC^2 = BC \times DC\)
CBSE Class X - 2024
CBSE Class X
Mathematics
Triangles
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