List of top Mathematics Questions

An aeroplane at an altitude of 1 km is flying horizontally at 600 km / hr, passes directly over an observer. Then the rate at which it is approaching the observer when it is 1250 meters away from him is........

The line \(x+y = 0\) touches the curve \(y^2 = ax^3+b\) at \((1,-1)\) then values of \(a\) and \(b\) respectively are ...........

If \(f(x),g(x)\) be twice differentiable functions, satisfying \(f^{''}(x) = g^{''}(x),f^'(1) = 2g^'(1) = 4\) and \(f(2) = 3g(2) = 9\) then \(f(x)-g(x)\) at \(x = 4\) is equal to

If the function \(f(x)\) defined by \(f(x) = \{\begin{array}{cc}ax+1 & \text{if }x\leq 3 \\ bx+3 & \text{if }x > 3\end{array}\) is continuous at \(x = 3\), then \((a-b) =\) ..........

If \(\sqrt{\frac{x}{y}}+\sqrt{\frac{y}{x}} = 6\), then \(\frac{dy}{dx} =\)

If \(x = asin^3t\) and \(y = acos^3t\), then the value of \(\frac{d^2y}{dx^2}\) at \(t = \frac{π}{3}\) is equal to

If \(x = 4t^3+3,y = 3t^4+4\) and \(\frac{\frac{d^2x}{dy^2}}{(\frac{dx}{dy})^n}\) is constant then the value of \(n\) is

If \(y = cos^2[cot^{-1}(\sqrt{\frac{1-x}{1+x}})]\) then \(\frac{dy}{dx} =\) ........

If \(3sin^{-1}(\frac{2x}{1+x^2})-4cos^{-1}(\frac{1-x^2}{1+x^2})+2tan^{-1}(\frac{2x}{1-x^2}) = \frac{π}{3}\) then \(x = ?\)

Let \(A = \left[ \begin{array}{ccc}3 & 1 & 2 \\ 1 & 2 & 0 \\ 1 & 1 & 4\end{array} \right]\) and \(pC_{11}+4C_{21}-5C_{32} = -2\), where \(C_{ij}\) denotes the cofactor of an element \(a_{ij}\) of matrix \(A\), then the value of \(p\) is :

If \(2sin^{-1}x-3cos^{-1}x = 4\), then \(2sin^{-1}x+3cos^{-1}x =\)

If \(f(x) = \frac{2x-1}{x+5}\), \(x\neq -5\) then \(f^{-1}(x)\) is equal to

If \(A = [\begin{array}{cc}1 & -5 \\ -2 & 4\end{array}]\), then \(A^{-1} =\)

The contrapositive of \(\sim q\rightarrow p\) is equivalent to

With the usual notations, if the lengths of the sides of the triangle are 3 units, 5 units and 7 units, then the largest angle of the triangle is

The angles of \(△ABC\) are in A.P. and \(b:c = \sqrt{3}:\sqrt{2}\) then \(\angle A =\)

The value of \(\underset{n\rightarrow \infty }{lim}[\frac{1}{1-n^2}+\frac{2}{1-n^2}+\ldots +\frac{n}{1-n^2}]^3\) is

If \(\sim p∨q\) is false then which of the following is correct?

If \(x+y = \frac{π}{4}\), then \((1+tanx)(1+tany) =\)

A straight line makes equal negative intercepts on the coordinate axes. If the perpendicular distance from the origin to the line is 4 units, then the equation of the line is ......

If the angle made by the lines represented by the equation \(ax^2+2hxy+by^2 = 0\) with X-axis are \(α\) and \(β\), then \(tan(α+β)\) is

If \(P\) be any point on the ellipse \(16x^2+25y^2 = 400\) with foci \(S\) and \(S^'\) and area of \(△PSS^'\) is 9 square units, then the abscissa of point \(P\) is...........

The equation of a circle whose center lies on \(x+2y = 0\) and touching the lines \(3x-4y+8 = 0\) and \(3x-4y-28 = 0\) is

The number of permutations of the letters of the word INSTITUTION are .......

The statement having truth value 'T' from the following is