If cos θ + cos²θ = 3 then tan²θ + cot²θ is equal to ___________

A box contains some milk chocolates and some coco chocolates and there are 60 chocolates in the box. If the probability of taking a milk chocolate is \(\frac { 2 }{ 3 } \) then the number of coco chocolates is ___________

The angle of elevation of a cloud from a point h metres above a lake is b. The angle of depression of its reflection in the lake is 45^o. The height of location of the cloud from the lake is ___________

Find the value of 'a' if the lines 7y = ax + 4 and 2y = 3 - x are parallel

If the mid-point of the line segment joining \(A\left( \frac { x }{ 2 } ,\frac { y+1 }{ 2 } \right) \) and B(x + 1, y-3) is C(5, -2) then find the values of x, y ____________

Three circles are drawn with the vertices of a triangle as centres such that each circle touches the other two if the sides of the triangle are 2cm,3cm and 4 cm. find the diameter of the smallest circle.

A line which intersects a circle at two distinct points is called ____________

The ratio of the areas of two similar triangles is equal to ____________

If \(A=\left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{matrix} \right] _{ 3\times 2 }\) \(B=\left[ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{matrix} \right] _{ 2\times 3 }\) then which of the following products can be made from these matrices 
(i) A²
(ii) B²
(iii) AB
(iv) BA

The parabola y = -3x² is ___________

If \(\frac { p }{ q } =a\) then \(\frac { { p }^{ 2 }+{ q }^{ 2 } }{ { p }^{ 2 }-{ q }^{ 2 } } \) ___________

Which of the following is correct
(i) Every polynomial has finite number of multiples
(ii) LCM of two polynomials of degree 2 may be a constant
(iii) HCF of 2 polynomials may be constant
(iv) Degree of HCF of two polynomials is always less then degree of LCM

In an A.P if the p^th term is q and the q^th term is p, then its n^th term is ____________

In the arithmetic series Sn = k + 2k + 3k +...+ 100, k is positive integer and k is a factor 100 then S_n is ____________

If f is identify function, then the value of f(1) - 2f(2) + f(3) is: 

If f(x) = x + 1 then f(f(f(y + 2))) is ___________

A number x is chosen at random from -4, -3, -2, -1, 0, 1, 2, 3, 4 find the probability that |x| ≤ 4

A cylinder 10 cone and have there are of a equal base and have the same height. what is the ratio of there volumes?

If sin A + sin²A = 1, then the value of the expression (cos²A + cos⁴A) is ___________

The value of the expression [cosec (75^o + θ) - sec (15^o - θ) - tan (55^o + θ) + cot(35^o - θ] is ___________