List of top Mathematics Questions

If the roots of \(2x^2+kx+3=0\) are real and equal, then \(k=\)

\(1,-\frac 12, \frac 14 ……\) are in G.P., then find 8^th term.

Product of the polynomials \((x^3+8),(x-8)\) is denoted by \(p(x)=ax^4+bx^3+cx^2+dx+e\) then \(p(8)=\)

For the equation \(2019x+2020y=4040\), when \(x=0\) the value of \(y=\)

If \(α,β\) are the roots of \(x^2-1=0\), then \(α+β=\)

\(log_x2+log_x2^2+log_x2^3+………+ log_x2^n=\frac {n(n+1)}{2}\), then \(x=\)

In the formula \(log_a xy=log_a x+log_a y\), which of the following is true?

\(log_xb-log_xa=log_xc-log_xb\)  \(∴ac=\)

5=

If A={a}, B={a,b}, C={a,b,c}, then A∩B∩C=

Find the mode when median is 125.6 and mean is 128.

Ratio of volume of cylinder and cone whose radii are equal and having same heights.

If \(acosθ + bsinθ=p, \ asinθ - bcosθ=q,\) then

What is the probability of getting an even number in a single throw of a die?

A number chosen from 1 to 100. Find the probability that it is a prime number ____

The circumference of a circle is 100 cm, then the side of a square inscribed in the circle is

Angle between the tangent and radius drawn through the point of contact is

From the top of the tower 60 mts high the angle of depression of two objects due north and due south of the tower are 60° and 45° then the distance between two objects is 60

Which of the following formula is associated to cylinder?

The mean of 17, 4, 8, 6 and 15 is m, the median of 8, 14, 10, 5, 7, 5, 20, 19 and n is (m-1). Then the values of m and n are

The trace of a square matrix is defined to be the sum of its diagonal entries. If $A$ is a $2 \times 2$ matrix such that the trace of $A$ is $3$ and the trace of $A^{3}$ is $-18$, then the value of the determinant of $A$ is ______

The number of terms in the expansion of (x + y + z)¹⁰ is

If z = x +iy then the equation |z + 1| = |z - 1| represents

If P(n) : 2ⁿ < n!
Then the smallest positive integer for which P(n) is true if

If tan A + cot A = 2, then the value of tan⁴ A + cot⁴ A =