JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

The point

(4,1)

undergoes the following two successive transformation
(i) Reflection about the line

y=x

(ii) Translation through a distance 2 units along the positive

x

-axis
Then the final coordinates of the point are

(x, y)

. Find

x+y

View answer and explanation

Correct option: A

The correct answer is A (7) because it is the sum of the final coordinates after performing the given transformations.

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x-3 y=p, a x+2 y=q

a x+y=r

\left\{ {a{t_1}{t_2},\;a\left( {{t_1} + {t_2})\} ,\{ a{t_2}{t_3},a({t_2} + {t_3}} \right)} \right\},\;\left\{ {a{t_3}{t_1},\;a\left( {{t_3} + {t_1}} \right)} \right\}

y = 2\;x + 4

6x = 3y + 5

{x^2} + {y^2} + 2xy - 8ax - 8ay - 9{a^2} = 0

(3,8)

x+3 y=7

\left( {{x^2} + 7xy + 2{y^2}} \right)\left( {y - 1} \right) = 0