Question

right all the formula of cbse class ninth maths book please it's urgent..

Answer 1

Geometry Shapes Formulas for Class 9

Geometric Figure Area Perimeter
Rectangle \(A= l \times w\) \(P = 2 \left (l+w \right )\)
Triangle \(A = \frac{1}{2}bh\) \(P = a + b + c\)
Trapezoid A = \frac{1}{2} h \left (b_{1}+ b_{2} \right ) \(P = a + b + c + d\)
Parallelogram \(A = bh\) \(P = 2 (b + h)\)
Circle \(A=\pi r^{2}\) \(C = 2 \pi r\)
Algebraic Identities For Class 9

\((a+b)^{2}=a^2+2ab+b^{2}\)
\((a-b)^{2}=a^{2}-2ab+b^{2}\)
\(\left (a + b \right ) \left (a – b \right ) = a^{2} – b^{2}\)
\(\left (x + a \right )\left (x + b \right ) = x^{2} + \left (a + b \right )x + ab\)
\(\left (x + a \right )\left (x – b \right ) = x^{2} + \left (a – b \right )x – ab\)
\(\left (x – a \right )\left (x + b \right ) = x^{2} + \left (b – a \right )x – ab\)
\(\left (x – a \right )\left (x – b \right ) = x^{2} – \left (a + b \right )x + ab\)
\(\left (a + b \right )^{3} = a^{3} + b^{3} + 3ab\left (a + b \right )\)
\(\left (a – b \right )^{3} = a^{3} – b^{3} – 3ab\left (a – b \right )\)
\( (x + y + z)^{2} = x^{2} + y^{2} + z^{2} + 2xy + 2yz + 2xz\)
\( (x + y – z)^{2} = x^{2} + y^{2} + z^{2} + 2xy – 2yz – 2xz\)
\( (x – y + z)^{2} = x^{2} + y^{2} + z^{2} – 2xy – 2yz + 2xz\)
\( (x – y – z)^{2} = x^{2} + y^{2} + z^{2} – 2xy + 2yz – 2xz\)
\( x^{3} + y^{3} + z^{3} – 3xyz = (x + y + z)(x^{2} + y^{2} + z^{2} – xy – yz -xz\)
\( x^{2} + y^{2} = \frac{1}{2} \left [(x + y)^{2} + (x – y)^{2} \right ]\)
\( (x + a) (x + b) (x + c) = x^{3} + (a + b +c)x^{2} + (ab + bc + ca)x + abc\)
\( x^{3} + y^{3} = (x + y) (x^{2} – xy + y^{2})\)
\( x^{3} – y^{3} = (x – y) (x^{2} + xy + y^{2})\)
\( x^{2} + y^{2} + z^{2} -xy – yz – zx = \frac{1}{2} [(x-y)^{2} + (y-z)^{2} + (z-x)^{2}]\)

Answer 2

Answer:

Geometry Shapes Formulas for Class 9

Geometric Figure Area Perimeter

Rectangle \(A= l \times w\) \(P = 2 \left (l+w \right )\)

Triangle \(A = \frac{1}{2}bh\) \(P = a + b + c\)

Trapezoid A = \frac{1}{2} h \left (b_{1}+ b_{2} \right ) \(P = a + b + c + d\)

Parallelogram \(A = bh\) \(P = 2 (b + h)\)

Circle \(A=\pi r^{2}\) \(C = 2 \pi r\)

Algebraic Identities For Class 9

\((a+b)^{2}=a^2+2ab+b^{2}\)

\((a-b)^{2}=a^{2}-2ab+b^{2}\)

\(\left (a + b \right ) \left (a – b \right ) = a^{2} – b^{2}\)

\(\left (x + a \right )\left (x + b \right ) = x^{2} + \left (a + b \right )x + ab\)

\(\left (x + a \right )\left (x – b \right ) = x^{2} + \left (a – b \right )x – ab\)

\(\left (x – a \right )\left (x + b \right ) = x^{2} + \left (b – a \right )x – ab\)

\(\left (x – a \right )\left (x – b \right ) = x^{2} – \left (a + b \right )x + ab\)

\(\left (a + b \right )^{3} = a^{3} + b^{3} + 3ab\left (a + b \right )\)

\(\left (a – b \right )^{3} = a^{3} – b^{3} – 3ab\left (a – b \right )\)

\( (x + y + z)^{2} = x^{2} + y^{2} + z^{2} + 2xy + 2yz + 2xz\)

\( (x + y – z)^{2} = x^{2} + y^{2} + z^{2} + 2xy – 2yz – 2xz\)

\( (x – y + z)^{2} = x^{2} + y^{2} + z^{2} – 2xy – 2yz + 2xz\)

\( (x – y – z)^{2} = x^{2} + y^{2} + z^{2} – 2xy + 2yz – 2xz\)

\( x^{3} + y^{3} + z^{3} – 3xyz = (x + y + z)(x^{2} + y^{2} + z^{2} – xy – yz -xz\)

\( x^{2} + y^{2} = \frac{1}{2} \left [(x + y)^{2} + (x – y)^{2} \right ]\)

\( (x + a) (x + b) (x + c) = x^{3} + (a + b +c)x^{2} + (ab + bc + ca)x + abc\)

\( x^{3} + y^{3} = (x + y) (x^{2} – xy + y^{2})\)

\( x^{3} – y^{3} = (x – y) (x^{2} + xy + y^{2})\)

\( x^{2} + y^{2} + z^{2} -xy – yz – zx = \frac{1}{2} [(x-y)^{2} + (y-z)^{2} + (z-x)^{2}]\)