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Representation of Point on the Plane

A, B, C, D, E...

Question

A, B, C, D, E, F

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Solution

A, B, C, D, E, F

Disclaimer: Join the dotted lines to form the given alphabets.

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Similar questions

\int_{a + c}^{b + c} f (x) d x

is equal to

(a)

\int_{a}^{b} f (x - c) d x

\int_{a}^{b} f (x + c) d x

\int_{a}^{b} f (x) d x

\int_{a - c}^{b - c} f (x) d x

Q. Observe the following Lists

List-I	List-II
$A) \int_{0}^{a} f (x) d x$	1) $\int_{0}^{a} f (a + x) d x$
B) $\int_{- a}^{a} f (x) d x$	2) $\int_{0}^{a} f (a - x) d x$
C) $\int_{0}^{2 a} f (x) d x$	3) 0, if $f (x)$ is odd
D) $\int_{0}^{n a} f (x) d x$	4) $0$ , if $f (2 a - x)$ $= - f (x)$
	5) $(n - 1) \int_{0}^{a} f (x) d x$ , if period of f(x) is $a$ .
	6) $\int_{0}^{a} f (x) d x$ , if period of $f (x)$ is $a$ .

\int_{0}^{2 a} f (x) d x = \int_{0}^{a} (f (a - x) + f (a + x)} d x

\int_{0}^{a} f (x) d x = \int_{0}^{a} f (a - x) d x

and hence evaluate

\int_{0}^{a} \frac{\sqrt{x}}{\sqrt{x} + \sqrt{a - x}} d x

.

Differential equation representing the family of curves given by y = ax + x² is:

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Representation of Point on the Plane

Standard VIII Mathematics

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