List of top Mathematics Questions

Let \(f :R→R\) be a function defined by \(f(x)=(2(1−\frac {x^{25}}{2})(2+x^{25}))^{\frac {1}{50}}\). If the function \(g(x) = f (f (f (x))) + f (f (x))\), then the greatest integer less than or equal to \(g(1)\) is _________.
From the below figure the value of x= _____.
From the below figure the value of x
The mid-point of the line segment joining the points (2, 7) and (12, -7) is
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
Average of 11 numbers is 10.5; If one of the number 9 is deleted, then the average of the remaining numbers is
If \(A=45°,\ B=60°,\) then \(sin\ A+cos\ B\)
In the below figure \(△PQR~△ABC\), then \(z+y=\) _____ .
In the below figure △PQR~△ABC,then z+y
\(RP\) and \(RQ\) are the two tangents to the circle with centre \(O\) and \(∠POQ=110°\), then \(∠PRQ=\) _____ .
RP and RQ are the two tangents to the circle with centre O and ∠POQ=110°,then ∠PRQ=__.
Calculate the length of tangent from a point 15 cm away from the centre of a circle of radius 9 cm.
The pair of equations \(3x+4y=k \)and \(9x+12y=6\) has infinitely many solutions if \(k=\)
From the below figure the value of x= _____.
From the below figure the value of x
The value of \(\frac {tan\ α}{\sqrt {1+tan^2α}}\) is ____ .
The pair of equations \(\frac 32x+\frac 53y=7, \ 9x-10y=12\), represents the following
If \(\frac {a_1}{a_2}=\frac {b_1}{b_2}≠\frac {c_1}{c_2}\), then the lines are
If \(sin \ θ=cos\  θ\) \((0<θ<90°)\), then \(tan\ θ =\) ____ .
In the below figure OB = 13 cm; OP = 12 cm and OP⊥AB, then the value of AB is
In the below figure OB=13 cm; OP=12 cm and OP⊥AB,then the value of AB is
Find length of a kite string flying at 100 m above the ground with the elevation 60°.
If the equation \(ax^2-8x+4=0\) has equal roots then \(a=\) ____ .
The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3 then the ratio of their volumes are
Which of the following is true?
In the right angle \(△ABC,\ ∠B=90°\), \(tan\ C=\frac {5}{12}\) then the length of hypotenuse is
The median of -4, -6, -5, 3, 0, 5 and 11 is
If \(sin(A-B)=\frac 12\) and \(cos(A+B)=\frac 12\), then \(∠A, ∠B\) ?
A circle touches the sides of a quadrilateral ABCD at points P, Q, R and S then which of the following is true?
A circle touches the sides of a quadrilateral ABCD at points P,Q,R and S then which of the following is true?
The centroid of a triangle is (4, 1) and two vertices are (2, 3) and (7, 6) then the third vertex is