JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

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Application +4 | -1

A straight line

L

through the point

(3,-2)

is inclined at an angle

60^{\circ}

to the line

\sqrt{3} x+y=1

. If

L

also intersects the

x

-axis, then the equation of

L

View answer and explanation

Correct option: B

y-\sqrt{3} x+2+3 \sqrt{3}=0

Option B (

y-\sqrt{3} x+2+3 \sqrt{3}=0

) is correct because it represents the equation of the line passing through (3,-2) and inclined at 60 degrees to the given line, also intersecting the x-axis.

More Questions from PAIR OF STRAIGHT LINES

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a x^2+2 h x y+b y^2+2 g x+2 f y+c=0

represents parallel straight lines, then Image of the point

(-1,3)

with respect to the line

y=2 x

is If the pair of lines represented by

a x^2+2 h x y+b y^2+2 g x+2 f y+c=0

intersect on

y

-axis, then If the sum of the slopes of the lines given by

4 x^2+2 \lambda x y-7 y^2=0

is equal to the product of the slopes, then

\lambda

is equal to The equation

3 x^2+2 h x y+3 y^2=0

represents a pair of straight lines passing through the origin. The two lines are The value of

h

for which

3 x^2-3 h x y+4 y^2=0

represents a pair of coincident lines are