List of top Mathematics Questions

\(7 \sec^2 A - 7 \tan^2 A =\)
The ratio of the circumferences of two circles is 5:7; then the ratio of their radii is
If \(x = a \cos \theta\) and \(y = b \sin \theta\) then \(b^2x^2 + a^2y^2 =\)
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
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
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 \(\triangle ABD \sim \triangle ECF\).
The area of the sector of a circle of radius 42 cm and central angle 30\(^\circ\) is
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?
From an external point P, two tangents PA and PB are drawn on a circle. If PA = 8 cm then PB =
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 \(\angle POA = \)
If one zero of the quadratic polynomial \((k-1)x^2 + kx + 1\) is -4 then the value of k is
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?
The degree of the polynomial \((x^3 + x^2 + 2x + 1)(x^2 + 2x + 1)\) is
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?
The zeroes of the polynomial \(2x^2 - 4x - 6\) are
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
A month is selected at random in a year. The probability of it being June or September is
The probability of getting heads on both the coins in throwing two coins is
Two dice are thrown at the same time. What is the probability that the difference of the numbers appearing on top is zero?
If \(P(E) = 0.02\) then \(P(E')\) is equal to
In the form of \(\frac{p}{2^n \times 5^m}\), 0.505 can be written as