List of top Mathematics Questions

The sum of two numbers is 50 and one number is \(\frac{7}{3}\) times of the other; then find the numbers.
\(\triangle ABC\) and \(\triangle DEF\) are similar and their areas are 9 cm\(^2\) and 64 cm\(^2\) respectively. If DE = 5.1 cm then find AB.
If \(\cos A = \frac{4}{5}\), then find the values of \(\cot A\) and \(\csc A\).
Sides AB and BC and median AD of a \(\triangle ABC\) are respectively proportional to sides PQ and QR and median PM of another \(\triangle PQR\). Then prove that \(\triangle ABC \sim \triangle PQR\).
If \(\sin 3A = \cos(A - 26^\circ)\), where 3A is an acute angle, then find the value of A.
If \(\tan\theta = \frac{5}{12}\), then find the value of \(\sin\theta + \cos\theta\).
Prove that \(\tan 9^\circ \cdot \tan 27^\circ = \cot 63^\circ \cdot \cot 81^\circ\).
Prove that \(\sqrt{\frac{1+\cos\theta}{1-\cos\theta}} = \frac{1+\cos\theta}{\sin\theta}\)
E is a point on side CB produced of an isosceles \(\triangle ABC\) with AB = AC. If AD \(\perp\) BC and EF \(\perp\) AC, prove that \(\triangle ABD \sim \triangle ECF\).
A kite is at a height of 30 m from the earth and its string makes an angle 60\(^\circ\) with the earth. Then the length of the string is
The angle of elevation of the top of a tower at a distance of 10 m from its base is 60\(^\circ\); then the height of the tower is
The ratio of the circumferences of two circles is 5:7; then the ratio of their radii is
\(7 \sec^2 A - 7 \tan^2 A =\)
If \(x = a \cos \theta\) and \(y = b \sin \theta\) then \(b^2x^2 + a^2y^2 =\)
The ratio of the radii of two circles is 3:4, then the ratio of their areas is
If one zero of the quadratic polynomial \((k-1)x^2 + kx + 1\) is -4 then the value of k is
If PA and PB are the tangents drawn from an external point P to a circle with centre at O and \(\angle APB = 80^\circ\) then \(\angle POA = \)
The area of the sector of a circle of radius 42 cm and central angle 30\(^\circ\) is
From an external point P, two tangents PA and PB are drawn on a circle. If PA = 8 cm then PB =
What is the angle between the tangent drawn at any point of a circle and the radius passing through the point of contact?
The zeroes of the polynomial \(2x^2 - 4x - 6\) are
If \(\alpha\) and \(\beta\) are the zeroes of the polynomial \(t^2 + 7t + 10\) then the value of \(\alpha + \beta\) is
Which of the following quadratic polynomials has zeroes 2 and -2?
In division algorithm a=bq+r, b=4, q=5 and r=1, then what is the value of a?
Which of the following is not a polynomial?