List of practice Questions

The distance between the points \( (7, -4) \) and \( (-5, 1) \) is:
The point on the \( y \)-axis which is equidistant from the points \( (5, -2) \) and \( (-3, 2) \) is:
PQRS is a rectangle whose vertices are \( P(0,0) \), \( Q(6,0) \), \( R(6,2) \), and \( S(0,2) \). The area of the rectangle is:
If \( A(a,0) \), \( B(0,0) \), and \( C(0,b) \) are the vertices of \( \triangle ABC \), then the area of \( \triangle ABC \) is:
What is the 35th term of the A.P. 20, 17, 14, 11, ...?
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 \( px^2 - qx + r = 0 \), where \( p \neq 0 \), are:
If \( x = -1 \) is a common root of the equations \( 2x^2 + 3x + p = 0 \) and \( qx^2 - qx + 4 = 0 \), then the value of \( p + q \) is:
What is the 11th term of the A.P. \( 3, -3, -\frac{1}{2}, 2, \dots \)?
The number of terms in the A.P. \( 41, 38, 35, \dots, 8 \) is:
The sum of the first 50 terms of the A.P. \( 2, 4, 6, 8, \dots \) is:
The point \( (2\sqrt{7}, -3) \) lies in which quadrant?
Which of the following is a quadratic equation?
If one root of the quadratic equation \( x^2 + 2kx + 4 = 0 \) is 2, then the value of \( k \) is:
If \( (x+3) \) is a factor of \( ax^2 + x + 1 \), then the value of \( a \) is:
For what value of \( p \), the roots of the quadratic equation \( px^2 - 2x + 3 = 0 \) are real and equal?
What is the nature of the 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 the curved surface area of a cylinder is 1760 cm\(^2\) and its radius is 14 cm, then its height 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:
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:
The total surface area of a hemisphere of diameter 14 cm is:
The volume of a cone is \( 1570 \, cm^3 \). If the area of its base is \( 314 \, cm^2 \), then its height is:
If \( 2r \) is the radius of a sphere, then its volume is:
In the throw of two dice, the number of possible outcomes is: