JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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The equation

8{x^2} + 8xy + 2{y^2} + 26x + 13y + 15 = 0

represents a pair of straight lines. The distance between then is

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Correct option: B

\frac{7}{{2\sqrt 5 }}

The correct answer is B (

\frac{7}{{2\sqrt 5 }}

) because it represents the distance between the parallel lines represented by the given equation, calculated using the formula for the distance between parallel 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