List of top Mathematics Questions

If A=(1)/(3) beginbmatrix 1 & 2 & 2
2 & 1 & -2
a & 2 & b endbmatrix is an orthogonal matrix, then:
The points represented by the complex numbers 1+i,-2+3i,(5)/(3)i on the Argand plane are:
If f(x)= begincases sin x, & when x is rational
cos x, & when x is irrational endcases then the function is:
Number of solutions of the equation tan⁻1(1+x)+tan⁻1(1-x)=(π)/(2) are:
If matrix A=beginbmatrix 3 & -2 & 4
1 & 2 & -1
0 & 1 & 1 endbmatrix quadand A⁻1=(1)/(k)adj(A), then k is:
Consider the equation of parabola y²+4ax=0 where a>0. Which of the following is correct?
The equation of the circle which passes through the point (4,5) and has its centre at (2,2) is:
Evaluate limₓ\to0√((x-sin x)/(x+sin² x))
The probability of getting 10 in a single throw of three fair dice is:
The value of limₙtₒᵢₙfty(1+2+3+⋯+n)/(n²+100) is equal to:
Eccentricity of ellipse (x²)/(a²)+(y²)/(b²)=1 if it passes through points (9,5) and (12,4) is:
If x>0, then 1+(log x)/(1!)+((log x)²)/(2!)+⋯ =
The coefficient of x³ in the expansion of (x-(1)/(x))⁷ is:
The locus of the point of intersection of the lines x=(1-t²)/(1+t²), y=(2at)/(1+t²) represents:
If a,b,c are in G.P., then
In how many ways can 12 gentlemen sit around a round table so that three specified gentlemen are always together?
The number of ways in which three dice can be thrown so as to get a sum of 15 is:
Roots of the equation x²+bx-c=0 (b,c>0) are:
If the amplitude of z-2-3i is π/4, then the locus of z=x+iy is:
The roots of the equation x⁴-2x³+x=380 are:
Let A,B,C be the angles of a plain triangle. If tan(A)/(2)=(1)/(3) and tan(B)/(2)=(2)/(3), then tan(C)/(2) is equal to:
A pole stands vertically inside a triangular park ABC. If the angle of elevation of the top of the pole from each corner of the park is the same, then the foot of the pole is at the:
If msinθ=nsin(θ+2α), then tan(θ+α) is equal to:
The domain of the function f(x)=√x²-[x]², where [x] denotes the greatest integer less than or equal to x, is:
Number of solutions of the equation sin 9θ=sinθ in the interval [0,2π] is: