List of top Mathematics Questions

\(△ABC∼△PQR; \ ∠P=60°,\ ∠Q=75°\) then, \(∠A=\) _____ .

A circle touches the sides of a quadrilateral ABCD at points P, Q, R and S then which of the following is true?

A bag contains '4' black balls and '6' red balls. If one ball is drawn at random, then the probability of getting red ball is

Identify the correct statement -

When two dice are rolled the probability of getting same odd number on two dice is

If sum and product of zero's of a Quadratic polynomial are 1, 1 respectively, then its corresponding quadratic polynomial is

If the equation \(ax^2-8x+4=0\) has equal roots then \(a=\) ____ .

The pair of equations \(3x+4y=k \)and \(9x+12y=6\) has infinitely many solutions if \(k=\)

If \(tan(A-B)=\frac {1}{\sqrt 3},\ cos \ A=\frac 12 \) then \(∠B=\) ____ .

The zero's of a quadratic polynomial \(4y^2+8y \) are

The curved surface area of a cylinder is \(264\ m^2\) and its volume is \(924\ m^3\) then height of the cylinder is

If the point \(P(x,y)\) divides the line segment joining the points \(A(x_1,y_1\)) and \(B(x_2,y_2)\) internally in the ratio \(m_1:m_2\), then \(P(x, y)=\) _____ .

In the right angle \(△ABC,\ ∠B=90°\), \(tan\ C=\frac {5}{12}\) then the length of hypotenuse is

The value of \(\frac {tan\ α}{\sqrt {1+tan^2α}}\) is ____ .

\(\sqrt p+\sqrt q\) is an irrational number, where \(p, q\) are

\(RP\) and \(RQ\) are the two tangents to the circle with centre \(O\) and \(∠POQ=110°\), then \(∠PRQ=\) _____ .

In the below figure \(△RST∼△RBA\), then the value of \(x\) is

Find length of a kite string flying at 100 m above the ground with the elevation 60°.

If \(\frac {a_1}{a_2}=\frac {b_1}{b_2}≠\frac {c_1}{c_2}\), then the lines are

The tops of two poles are of height 20 m and 14 m are connected by a wire. If the wire makes an angle 30° with the horizontal, then the length of the wire is

If in the equation \(x+3y=10\), the value of \(y\) is \(4\), then the value of \(x\) will be

The sum of \(10\) terms of A.P. \(:2,7,12,.........\) is

If A= {a, b, c, d} then number of subsets of A are

The pair of equations x=0 and x=5 has

If the H.C.F. of any two numbers is equal to '1' then those numbers are called as