List of top Mathematics Questions

If \( A(a,0) \), \( B(0,0) \), and \( C(0,b) \) are the vertices of \( \triangle ABC \), then the area of \( \triangle ABC \) is:
The distance between the points \( (7, -4) \) and \( (-5,1) \) is:
The distance between the points \( (2\cos \theta, 0) \) and \( (0, 2\sin \theta) \) is:
The point \( (2\sqrt{7}, -3) \) lies in which quadrant?
The point on \( y \)-axis which is equidistant from the points \( (5, -2) \) and \( (-3,2) \) is:
The intersecting point of straight lines \( x = -2 \) and \( y = 3 \) is:
If \( 2r \) is the radius of a sphere, then its volume is:
What is the 11th term of the A.P. \( -3, -\frac{1}{2}, 2, \dots \) ?
The number of terms in A.P. \( 41, 38, 35, \dots, 8 \) is:
The sum of first 50 terms of the A.P. \( 2, 4, 6, 8, \dots \) is:
The volume of a cone is \( 1570 \) cm\(^3\). If the area of its base is \( 314 \) cm\(^2\), then its height is:
The total surface area of a hemisphere of diameter \( 14 \) cm is:
If the curved surface area of a cylinder is \( 1760 \) cm\(^2\) and its base radius is \( 14 \) cm, then its height is:
Three cubes of metal with edges 3 cm, 4 cm, and 5 cm respectively are melted to form a single cube. What is the lateral surface area of the new formed cube?
The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is:
The external radius of a pipe of metal is \( 4 \) cm and internal radius is \( 3 \) cm. If its length is \( 10 \) cm, then the volume of metal is:
How many cubes of side 4 cm can be formed from a cube of side 8 cm?
If \( r \) is the radius of the base of a cone and \( l \) is its slant height, then the curved surface area of the cone is:
For what value of \( p \) will the equation \( px^2 - 2x + 3 = 0 \) have real and equal roots?
What is the nature of roots of the quadratic equation \( 6x^2 - 3x + 5 = 0 \)?
If one root of the quadratic equation \( x^2 + x - 20 = 0 \) is \( 4 \), then the other root is:
If \( \alpha \) and \( \beta \) are the roots of the quadratic equation \( x^2 + 6x + 5 = 0 \), then the value of \( \alpha^2 + \beta^2 \) is:
The roots of the quadratic equation \( px^2 - qx + r = 0, \, p \neq 0 \) are:
If \( x = -1 \) is a common root of both the equations \( 2x^2 + 3x + p = 0 \) and \( qx^2 - qx + 4 = 0 \), then the value of \( p + q \) is:
The length, breadth, and height of a cuboid are 15 m, 6 m, and 5 m, respectively. Then the lateral surface area of the cuboid is: