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 set of ordered pairs.

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

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

Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

Prove that \(\sqrt { 3 } \) is irrational

Using quadratic formula solve the following equations.
p²x² + (P² -q²) X - q² = 0

Find the values of k for which the following equation has equal roots.
(k - 12)r + 2(k - 12)x + 2 = 0

In figure if PQ || RS Prove that \(\Delta POQ\sim \Delta SOQ\)

In figure the line segment xy is parallel to side AC of \(\Delta ABC\) and it divides the triangle int two parts of equal areas. Find the ratio \(\cfrac { AX }{ AB } \)

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

Prove that sec A (1 - sin A) (sec A + tan A) = 1.

\(\frac { sin\quad \theta }{ 1+cos\theta } +\frac { 1+cos\theta }{ sin\quad \theta } =2cosec\theta \)

If tan A=\(\frac{3}{4}\), then sin A cos A=\(\frac{12}{15}\)

\(\sqrt3\)1 (3-cot30^o)=tan³ 60^o-2sin60^o

tan θ+tan(90^o-θ)=secθ sec(90^o-θ)

If \(\sqrt3\) tan θ=1, then find the value of sin²θ-cos²θ

Simplify (1+tan²θ)(1-sinθ)(1+sinθ)

Show that \(\\ \frac { { cos }^{ 2 }({ 45 }^{ 0 }+\theta ){ +cos }^{ 2 }({ 45 }^{ 0 }-\theta ) }{ tan({ 60 }^{ 0 }+\theta )tan({ 30 }^{ 0 }-\theta ) } =1\)

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.