List of top Mathematics Questions

The number 28 is divided into two positive parts such that the sum of the cube of one part and the square of the other part is minimum, then the absolute difference between the two parts is

If \(f(x) = cosxcos2xcos4xcos8xcos16x\), then \(f^'(\frac{π}{4})\) is equal to

Which of the following function is discontinuous at \(x = 0\) ?

If \(y = x\cdot 7^x\), then the value of \(\frac{dx}{dy}\) when \(x = 1\) is

If \(y = [(x+1)(2x+1)(3x+1)\ldots \ldots (nx+1)]^4\), where \(n\in N\) and \(\frac{dy}{dx}\) at \(x = 0\) is \(2k\), then the value of \(k\) is

The derivative of the function \(f(x) = cos^4x+sin^4x, 0\leq x\leq 2π\) is positive for

If \(f:R\rightarrow R\) and \(g:R\rightarrow R\) are defined as \(f(x) = 2x-|x|\) and \(g(x) = 2x+|x|\), then

The value of \(3tan^{-1}(\frac{1}{2}) = \ldots\)

If the matrix \(A = [\begin{array}{cc}4 & 1 \\ 3 & 2\end{array}]\) is expressed as the sum of a symmetric matrix B and a skew symmetric matrix C then which of the following relations is correct?

If \(A\) is a non-singular matrix and \(A^2-A+I = 0\), then \(A^{-1} = \ldots\)

If \(f(x) = \frac{x+2}{x^2-3x+1}\), then the values of \(x\) for which \(f(x)\) is not defined are

If \(p\rightarrow (q∨\sim r)\) is false, then the truth values of \((p\leftrightarrow q)∧r\) and \(\sim p\rightarrow \sim q\) are :

If the statements
p: If voltage increases then current decreases.
q : If voltage does not increases then current does not decreases.
r : If current decreases then voltage increases.
s : If current does not decreases then voltage does not increases.
then which of the following pairs of statements having same meaning

In \(△ABC\), if \(a = 13,b = 14,c = 15\), then the value of \(sinA+cosA\) is...

With usual notations, in \(△ABC\), if \(cosC = \frac{sinA}{2sinB}\), then which of the following is true ?

If \(\underset{x\rightarrow 1}{lim}\frac{sin(3x^2-4x+1)-x^2+1}{2x^3-7x^2+ax+b} = -2\), then the quadratic equation having roots \(a\) and \(b\) is

If the equation \(sin3θ-cos^2θ = \frac{1}{4}\) and \(θ\in [0,π]\), then the number of solutions is...

The equations of the tangents to the ellipse \(\frac{x^2}{16}+\frac{y^2}{9} = 1\) making an inclination of \(30^{\circ}\) with the major axis are

If a circle passes through the points \((2,3)\) and \((4,5)\) and its center lies on the straight line \(y-4x+3 = 0\), then its equation is......

If \(A(2,-3)\) and \(C(-6,7)\) are opposite vertices of a rhombus ABCD, then the equation of diagonal BD is

The measure of the acute angle between the pair of lines \(2x^2+xy-y^2-x+2y-1 = 0\) is:

The joint equation of a pair of lines passing through point \((1,4)\), one of which is parallel to X-axis and the other makes an angle of \(45^{\circ}\) with the positive direction of X-axis, is

If \(cos43^{\circ}+sin43^{\circ} = k^3\), then \(cos2^{\circ} = \ldots\)

If \(α\) and \(β\) are the distinct roots of the equation \(x^2-x+1 = 0\), then the value of \(α^{200}+β^{206}+2\) is equal to

The number of arrangements of the letters in the word SOLAPUR, so that consonants and vowels are placed alternately is