If \(f(x)=\frac { x+1 }{ x-2 } ,g(x)=\frac { 1+2x }{ x-1 } \) then fog(x) is ___________

If p, q, r, x, y, z are in A.P, then 5p + 3, 5r + 3, 5x + 3, 5y + 3, 5z + 3 form ____________

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

If triangle PQR is similar to triangle LMN such that 4PQ = LM and QR = 6 cm then MN is equal to ____________

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.

The lines y = 5x - 3, y = 2x + 9 intersect at A. The coordinates of A are ___________

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

The radius of a wire is decreased to one-third of the original. If volume the same, then the length will be increased _______of the original.

Kamalam went to play a lucky draw contest 135 tickets of the lucky draw were sold. If the probability of Kamalam winning is \(\frac { 1 }{ 9 } \), then the number of tickets bought by kamalam is ____________

The standard deviation is the ____ of variance 

Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Let f: A \(\rightarrow\)B be a function given by  f(x) = 2x + 1. Represent this function as  a table.

Use Euclid's algorithm to find the HCF of 4052 and 12756.

Using quadratic formula solve the following equations.9x²-9(a+b)x+(2a²+5ab+2b²)=0

In figure OA· OB = OC·OD
Show that \(\angle A=\angle C\ and\ \angle B=\angle D\)

Show that the points (1, 7), (4, 2), (-1,-1) and (-4,4) are the vertices of a square.

Find the depth of a cylindrical tank of radius 28 m, if its capacity is equal to that of a rectangular tank of size 28 m x 16 m x 11 m.

Find the standard deviation for the following data. 5, 10, 15, 20, 25. And also find the new S.D. if three is added to each value.

Let A = {1, 2, 3, 4, 5}, B = N and f: A \(\rightarrow\)B be defined by f(x) = x². Find the range of f. Identify the type of function.

Determine the AP whose 3rd term is 5 and the 7^th term is 9.

A two digit number is such that the product of its digits is 12. When 36 is added to the number the digits interchange their places. Find the number.

Prove that in a right triangle, the square of 8. the hypotenuse is equal to the sum of the squares of the others two sides.

If the points A(6, 1), B(8, 2), C(9, 4) and D(P, 3) are the vertices of a parallelogram, taken in order. Find the value of P.

Evaluate \(\frac { tan{ 65 }^{ o } }{ tan{ 25 }^{ o } } \)

Find the number of coins, 1.5 cm is diameter and 0.2 cm thick, to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.

Find the co-efficient of variation for the following data: 16, 13, 17,21, 18.

If R = {(a, -2), (-5, b), (8, c), (d, -1)} represents the identity function, find the values of a, b, c and 

How many terms of the AP: 24, 21, 18, ... must be taken so that their sum is 78?

A two digit number is such that the product of its digits is 18, when 63 is subtracted from the number, the digits interchange their places. Find the number.

A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches a window 6 m above the ground. Find the length of the ladder.

Find the area of the triangle formed by the points P(-1, 5, 3), Q(6, -2) and R(-3, 4).

Express cot 85° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°.

A wooden article was made by scooping out a hemisphere from each end of a cylinder as shown in figure. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm find the total surface area of the article.

S.D. of a data is 2102, mean is 36.6, then find its C.V.