List of top Mathematics Questions

In Fig. 9.24, ∠PQR = 100°, where P, Q and R are points on a circle with centre O. Find ∠OPR.

PQR = 100°, where P, Q and R are points on a circle with centre

If the diagonals of a parallelogram are equal, then show that it is a rectangle.
Integrate the function: \(e^{2x} sinx\)
Integrate the function: \(cot \ x .log\ sin\  x\)
Find the integrals of the function: \(cos^4 2x\)
Integrate the function: \(\frac{x+2}{\sqrt {x^2+2x+3}}\)
Find \(\frac {dy}{dx}\): \(2x+3y=sin\ x\)
Find \(\frac {dy}{dx}\): \(xy+y^2=tan\ x+y\)
Find \(\frac {dy}{dx}\): \(x^2+xy+y^2=100\)
Find \(\frac {dy}{dx}\): \(x^3+x^2y+xy^2+y^3=81\)
Find \(\frac {dy}{dx}:\) \(y=cos^{-1}(\frac {1-x^2}{1+x^2}),\ \ 0<x<1\)
Find \(\frac {dy}{dx}:\) \(sin^2x+cos^2y=1\)
\(Find\  \frac {dy}{dx}:\) \(y=tan^{-1}( \frac {3x-x^3}{1-3x^2}),\ \ -\frac {1}{\sqrt 3}<x<\frac {1}{\sqrt 3}\)
Differentiate w.r.t. \(x\) the function: \((3x^2-9x+5)^9\)
Differentiate the following w.r.t. x: \(e^{sin^{-1}x}\)
Differentiate the following w.r.t. x: \(\frac {e^x}{sin\ x}\)
What is the maximum value of the function sin x + cos x?
If $y = \cot^{-1} \, (x^2)$, then the value of $ \frac{dy}{dx}$ is equal to
Find the mean deviation about the median for the data 36, 72, 46, 42, 60, 45, 53, 46, 51, 49.

Find the mean deviation about the mean for the given data.

\(x_i\)510152025
\(f_i\)74635

The inequality \(\dfrac{2x − 1}{3} ≥\dfrac{3x − 2}{4} −\dfrac{(2 − x)}{5}\)  holds for \(x \) belonging to 

Form the pair of linear equations in the following problems, and find their solutions graphically. (i) 10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.(ii) 5 pencils and 7 pens together cost Rs50, whereas 7 pencils and 5 pens together cost Rs46. Find the cost of one pencil and that of one pen.

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. (i)\(\dfrac{1}{4} , 1\) (ii) \(\sqrt 2 , \dfrac{1}{3}\) (iii) \(0, \sqrt5\) (iv) \(1, 1\) (v) \(-\dfrac{1}{4} ,\dfrac{1}{4}\)(vi) \(4, 1\)

Show that the points (5, –1, 1), (7, – 4, 7), (1 – 6, 10) and (–1, – 3, 4) are the vertices of a rhombus.

Find the following integral: \(\int (2x^2+e^x)dx\)