JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Application +4 | -1

Equation of the straight line making equal angles with the straight lines

x+y=1

and

2 x+3 y=1

and passing through the point

(1,2)

may be given as

View answer and explanation

Correct option: A

\sqrt{13}(x+y-3)= \pm \sqrt{2}(2 x+3 y-8)

Option A (

\sqrt{13}(x+y-3)= \pm \sqrt{2}(2 x+3 y-8)

) is correct because it represents the equation of the straight line that makes equal angles with the given lines and passes through the specified point (1,2).

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