List of top Mathematics Questions

\(\triangle ABC \sim \triangle DEF\) and BC = 3 cm, EF = 4 cm. If the area of \(\triangle ABC\) is 54 cm\(^2\), then the area of \(\triangle DEF\) is
The corresponding sides of two similar triangles are in the ratio 4 : 9. What will be the ratio of the areas of the triangles?
\(\triangle ABC\) and \(\triangle DEF\) are such that \(\frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{DF}\) and \(\angle A = 40^\circ\), \(\angle B = 80^\circ\); then the measure of \(\angle F\) is
The ratio of the volumes of two spheres is 64 : 125. Then the ratio of their surface areas is
The number of common tangents of two intersecting circles is
In any \(\triangle ABC\), \(\angle A = 90^\circ\), BC = 13 cm, AB = 12 cm; then the value of AC is
In \(\triangle DEF\) and \(\triangle PQR\) it is given that \(\angle D = \angle Q\) and \(\angle R = \angle E\), then which of the following is correct?
A line which intersects a circle in two distinct points is called
\(\tan 10^\circ \tan 23^\circ \tan 80^\circ \tan 67^\circ = \)
If one root of the quadratic equation \(2x^2 - x - 6 = 0\) is \(-\frac{3}{2}\) then its another root is
If the ratio of areas of two similar triangles is 100 : 144 then the ratio of their corresponding sides is
What is the nature of the roots of the quadratic equation \(2x^2 - 6x + 3 = 0\) ?
If A(0, 1), B(0, 5) and C(3, 4) are the vertices of any \(\triangle ABC\), then the area (in square unit) of \(\triangle ABC\) is
How many solutions will \(x + 2y + 3 = 0\), \(3x + 6y + 9 = 0\) have?
The pair of linear equations \(5x - 4y + 8 = 0\) and \(7x + 6y - 9 = 0\) is
If \(p(x) = x^4 - 2x^3 + 17x^2 - 4x + 30\) is divided by \(q(x) = x + 2\) then the degree of the quotient is
If the graphs of two linear equations are parallel then the number of solutions will be
If one root of the quadratic equation \(2x^2 - 7x - p = 0\) is 2 then the value of p is
If \(\alpha\) and \(\beta\) are roots of the quadratic equation \(3x^2 - 5x + 2 = 0\) then the value of \(\alpha^2 + \beta^2\) is
If the sum of zeros of a quadratic polynomial is 3 and their product is -2 then that quadratic polynomial is
Which of the following quadratic polynomials has zeroes 3 and -10?
\(1 - \cos^4 \theta = \)
If \(\cos \theta = x\) then \(\tan \theta = \)
If \(\tan 25^\circ \times \tan 65^\circ = \sin A\) then the value of A is
What is the form of a point lying on y-axis ?