List of top Mathematics Questions asked in MHT CET

The domain of the function \(f(x) = \sqrt{x-1}+\sqrt{3-x}\) is ...

If \(y = f(\frac{3+2x}{3-2x})\), where \(f(x) = tan(logx)\) and \(\frac{dy}{dx} = (\frac{A}{B+Cx^2})\cdot sec^2(log(\frac{3+2x}{3-2x}))\), then the respective values of A, B and C are ......

The minimum value of \((sin^{-1}x)^2+(cos^{-1}x)^2\) is............

If \(A = [\begin{array}{cc}2i & i^3 \\ i^2 & 1\end{array}]\), then \(A^{-1}\) is equal to

In \(△ABC\), with usual notations, if \(cosA = \frac{1}{2},a = 3,\angle B = \frac{π^c}{6}\), then the values of \(b\) and \(c\) are.....

The statement pattern \((p∨q)\rightarrow \sim r\) is logically equivalent to

If \(A = \frac{1}{2}[\begin{array}{cc}-1 & -\sqrt{3} \\ \sqrt{3} & -1\end{array}]\) then \(A^{-1}-A^2\) is not

If the truth value of the compound statement \([(p∨q)∧(q\rightarrow r)∧(\sim r)]\rightarrow (p∧q)\) is False then the truth values of \(p\rightarrow q\) and \(q\rightarrow p\) are respectively......

The equation of a line passing through the point of the intersection of the lines \(x-y+1 = 0\) and \(2x+3y-8 = 0\) and having x intercept \(3\) is

If the equation \(x^2-ky^2-4x+6y-5 = 0\) represents a pair of straight lines, then their point of intersection is

The equation of a circle which passes through the points \((2,3)\) and \((4,5)\) and whose center lies on the straight line \(y-4x+3 = 0\) is

The principal solutions of \(\text{cosec}(θ) = -2\) are...

The value of \(\underset{x\rightarrow 3}{lim}\frac{[x]-3}{x-3}\), where \([\cdot ]\) denotes the greatest integer function, is.....

The value of the expression \(tan(x-9π)\) is equal to:

There are \(5\) boys and \(3\) girls seated in a row for a photograph. The number of ways in which a photograph can be taken if the girls occupy only odd places is...

If \(A = \{1,2,3,4,5\}\), then which of the following statements is not true?

If \(-1+\sqrt{-3} = re^{iθ}\), then the value of \(θ\) is

If \(\overset{̄}{a} = \hat{i}+\hat{j}\) and \(\overset{̄}{b} = \hat{i}-\hat{k}\), then the point of intersection of the lines \(\overset{̄}{r}\times \overset{̄}{a} = \overset{̄}{b}\times \overset{̄}{a}\) and \(\overset{̄}{r}\times \overset{̄}{b} = \overset{̄}{a}\times \overset{̄}{b}\) is

The solution of the differential equation \(\frac{dy}{dx} = \frac{x+y}{x-y}\) is

The equation of the tangent to the curve \(y = 3x^3-3x^2+x\) at \(x = 1\) is

The difference between the maximum value and minimum value of the objective function \(z = 3x+5y\) of a linear programming problem subject to constraints \(5x+10y\leq 50\), \(x+y\geq 1\), \(y\leq 4\) and \(x\geq 0,y\geq 0\) is \(3λ\). Then the value of \(λ\) is

If \(\frac{dy}{dx} = y+5\) and \(y(0) = 4\) then \(y(log2)\) is equal to

The co-ordinates of the foot of the perpendicular from the origin to the plane \(2x-3y-6z = 49\) are...

The area of the region (in sq.units) bounded by the curve \(y = 2\sqrt{1-x^2}\) and the X-axis is _____

The statement pattern \((p∧q)\rightarrow (r∨\sim s)\) is false. Then the truth values of \(p,q,r\) and \(s\) are respectively