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JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

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Consider the following statements about straight lines:

I. Slope of horizontal line is zero and slope of vertical line is undefined.

II. Two lines are parallel if and only if their slopes are equal.

III. Two lines are perpendicular if and only if product of their slope is

-1 .

Which of the above statements are true?

View answer and explanation

Correct option: D

All the above

Option D is correct because all three statements about straight lines are fundamental and well-established geometric principles.

More Questions from STRAIGHT LINES

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If the three lines

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

a x+y=r

form a right-angled triangle then :
The orthocentre of the triangle whose vertices are

\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\}

is
The distance between the parallel lines

y = 2\;x + 4

6x = 3y + 5

is The distance between the pair of lines given by

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

is Find the image of the point

(3,8)

with respect of the line

x+3 y=7

assuming the line to be plane mirror: The centroid of the triangle whose three sides are given by the combined equation

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