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.
If \(\tan\theta = \frac{5}{12}\), then find the value of \(\sin\theta + \cos\theta\).
If \(\sin 3A = \cos(A - 26^\circ)\), where 3A is an acute angle, then find the value of 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 \(\triangle ABC \sim \triangle PQR\).
\(\triangle ABC\) 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 \(x = a \cos \theta\) and \(y = b \sin \theta\) then \(b^2x^2 + a^2y^2 =\)
The ratio of the circumferences of two circles is 5:7; then the ratio of their radii 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
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 \(\triangle ABD \sim \triangle ECF\).
\(7 \sec^2 A - 7 \tan^2 A =\)
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
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 \(\angle POA = \)
From an external point P, two tangents PA and PB are drawn on a circle. If PA = 8 cm then PB =
The ratio of the radii of two circles is 3:4, then the ratio of their areas is
What is the angle between the tangent drawn at any point of a circle and the radius passing through the point of contact?
The area of the sector of a circle of radius 42 cm and central angle 30\(^\circ\) is
If one zero of the quadratic polynomial \((k-1)x^2 + kx + 1\) is -4 then the value of k is
The degree of the polynomial \((x^3 + x^2 + 2x + 1)(x^2 + 2x + 1)\) is
The zeroes of the polynomial \(2x^2 - 4x - 6\) are
In division algorithm a=bq+r, b=4, q=5 and r=1, then what is the value of a?
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 is not a polynomial?
Which of the following quadratic polynomials has zeroes 2 and -2?
The value of \((\sin 30^\circ + \cos 30^\circ) - (\sin 60^\circ + \cos 60^\circ)\) is
The probability of getting a number 4 or 5 in throwing a die is