List of top Mathematics Questions

Evaluate \( \sin 54^\circ - \cos 36^\circ \).

Evaluate \(2(\sin 45^\circ - \cos 45^\circ)\).

Evaluate \( \dfrac{\cos 60^\circ + 1}{\cos 60^\circ - 1} \).

If one root of the quadratic equation \(2x^2 + px - 3 = 0\) is \(-3\), then the value of \(p\) will be:

For what values of \(k\) are the roots of the quadratic equation \(9x^2 + 3kx + 4 = 0\) real and equal?

If \( \alpha, \beta \) are the roots of the equation \( x^2 + 3px + 2p^2 = 0 \) and \( \alpha^2 + \beta^2 = 5 \), then the value of \(p\) is:

The roots of the quadratic equation \(a^{2}p^{2}x^{2}-q^{2}=0\) are:

The ratio of the sum of the roots and the product of the roots of the quadratic equation \(x^2 - 15x + 50 = 0\) is:

If \(-5\) and \(-1\) are the roots of a quadratic equation, then the equation will be:

Which of the following is a quadratic equation?

The coordinates of the vertices of a triangle are \( (0,6) \), \( (0,0) \) and \( (8,0) \). Then the perimeter of the triangle is:

If the graphs of two linear equations are coincident lines, then how many solutions do they have?

If \( P(0,0) \), \( Q(8,0) \) and \( R(0,12) \) are the vertices of \( \triangle PQR \), then the area of \( \triangle PQR \) is:

The graphs of the equations \(2x - y - 3 = 0\) and \(12x + 7y - 5 = 0\) are which type of straight lines?

The mid-point of the line segment joining the points \( (-2, 8) \) and \( (-6, -4) \) lies in which quadrant?

Which type of straight line will be the graph of \( x - y = 0 \)?

The coordinates of the ends of a diameter of a circle are \( (-10, 6) \) and \( (6, -10) \). Then the coordinates of its centre are:

The distance of the point \( (13, 15) \) from the \(y\)-axis is:

The point on the \(x\)-axis which is equidistant from the points \( (-2, 0) \) and \( (6, 0) \) is:

The length of the perpendicular from the point \( (13, 19) \) to the \(x\)-axis is:

The graph of the straight line \( y = 2x - 3 \) passes through which of the following points?

The coordinates of the vertices of a triangle are \( (2, 4) \), \( (0, 6) \) and \( (4, -1) \). Then the coordinates of the centroid of the triangle are:

What is the distance of the point \( (15, 8) \) from the origin?

Let be a sequence such that a1+a₂+....+ a_n=\(\frac{n^2+3n}{ (n+1 ) (n+2)}\). If  \(28∑^{10}_{k=1}\frac{1}{a_k} =\) P₁P₂P₃ . . . P_m ,  where p1, p2, …..p_m are the first m prime numbers, then m is equal to