JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

1 of 1

Remembering +4 | -1

Consider the following statements.

I. The equation of a straight line passing through the point

\left(x_1, y_1\right)

and having slope

{m}

is given by

y-y_1=m\left(x-x_1\right)

II. Equation of the

y

-axis is

x=0

.

Choose the correct option.

View answer and explanation

Correct option: C

Both are true

Option C (Both are true) is correct because the point-slope form of a line and the equation of the y-axis are correctly stated.

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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