List of top Mathematics Questions

The negation of the statement “For all real numbers x and y, x + y = y + x” is

\(\lim\limits_{x\rightarrow0}(\frac{\tan x}{\sqrt{2x+4}-2})\) is equal to

If the parabola x² = 4ay passes through the point (2, 1), then the length of the latus rectum is

The two lines lx + my = n and l'x + m'y = n' are perpendicular if

If the sum of n terms of an A.P is given by S_n = n² + n, then the common difference of the A.P is

Let f(x) be a quadratic polynomial such that f(–1) + f(2) = 0. If one of the roots of f(x) = 0 is 3, then its other root lies in :

If the radius of a sphere is tripled, then its volume will become

If two circles touch internally, then the number of their common tangents is

The length of tangent from a point 15 cm away from the centre of a circle of radius 9 cm is

If \( z = x + iy \), then the equation \( |z + 1| = |z - 1| \) represents: 

\(△ABC∼△PQR;\) \(\frac {AB}{PQ}=\frac {BC}{QR}=\frac {AC}{PR}=k\), then \(k\) value

Four equal circles, each of radius 7 cm, touch each other and a square ABCD is formed through the centres, A, B, C, D of these circles as shown in the figure. Then the area of the shaded region is

If the circumference of a circle is 22 cm, then the area of a quadrant of the circle is

In the given figure, if AB = c, AC = b and AD 1 BC, then AD =

If the ratio of the corresponding sides of two similar triangles is 2:3, then the ratio of their corresponding altitudes is

The point on the X-axis which is equidistant from the points (2, -5) and (-2, 9) is

The ratio in which the X-axis divide's the line segment joining the points (4, 6) and (3.-8) is

The mid-point of the line joining the points (4, 5) and (-2, -1) is

The slope of a line perpendicular to 13x-7y-1-0 is

The area of a triangle with vertices (a, b+c), (b, c+a) and (c, a+b) is

If the points (x, 9), (0, 1) and (-6,-7) are collinear, then the value of x is

The arithmetic mean and geometric mean between two numbers are 75 and 21 respectively, then the numbers are

If the 6th term of a Geometric Progression (GP) is 243 and the 1st term is 32, then what will be the 5th term of the GP?

\(\frac{\text{2+3+5+…. to n terms}}{\text{2+5+8+….8 \,to \,8 \,\,terns}}\)=9, then the value of n is