In figure, if O is the centre of a circle, PQ is a chord and the tangent PR at P makes an angle of 50° with PQ, then \(\angle\)POQ is equal to

A ladder, leaning against a wall, makes an angle of 60° with the horizontal. If the foot of the ladder is 9.5 m away from the wall. The length of the ladder is

If Δ ABC - Δ POR with \(\frac{B C}{Q R}=\frac{1}{3}\) then \(\frac{\operatorname{ar}(\Delta P R Q)}{\operatorname{ar}(\Delta B C A)}\) is equal to

If in \(\Delta A B C \text { and } \Delta D E F, \frac{A B}{D E}=\frac{B C}{F D}\) then they will be similar, when

If in two \(\Delta A B C \text { and } \Delta P Q R\) \(\frac{A B}{Q R}=\frac{B C}{P R}=\frac{C A}{P Q}\), then

If sin \(\theta=\frac{a}{b},\) then cos \(\theta\) is equal to

If sin A \(=\frac{1}{2}\) then the value of cot A is 

If x = \(\frac{1}{\sqrt{3}}\) IS root of the equation Px² + ( \(\sqrt3\) - \(\sqrt{2}\)) x - 1 = 0, then the value of p² + 1 is

If α and β are roots of equation ax² + bx + c = 0, then \(\frac{\alpha}{a \beta+b}+\frac{\beta}{a \alpha+b}\) equals

A line segment AB is 8 cm in length. AB is produced to P such that Bp² = AB· AP. Then, the length of BP is

Is -8 is a solution of the equation 3x² + 8x + 2 = 0?

The sum of the squares of three consecutive integers is 110, then the smallest positive integer is

Is an sequence defined by a_n = 2n² +1 forms an AP?

The 10th term of an AP is 52 and 16 th term is 82, then 32nd term of the AP is

Which term of the AP 5, 15,25, ... will be 130 more than its 31st term?

Let a be a sequence defined by a₁ = 1, a₂ = 1 and an = a_{n - 1} + a_{n - 2} for all n > 2, then the value of \(\frac{a_{4}}{a_{3}}\) is

If the lines given by 3x + 2ky = 2 and 2x + 5y = 1 are parallel, then the value of k is

The pair of equations y = 0 and y = - 7 has

If a pair of linear equations is consistent, then the lines will be

The pair of equations x + 2y + 5 = 0 and - 3x - 6y + 1= 0 has

The product of a non-zero rational and an irrational number is

If two positive integers p and q can be expressed as p = ab² and q = a³ b;where a, b being prime numbers, then LCM (p, q) is equal to

If two positive integers a and b are written as 0 = x ³y ² an d b = xy ³, where x, yare prime numbers, then HCF (a, b) is

For some integer q, every odd integer is of the form

Which of the following is not the graph of a quadratic polynomial?