JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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The straight lines

7 x-2 y+10=0

and

7 x+2 y-10=0

forms and isosceles triangle with the line

y=2

, area of this triangle is equal to

View answer and explanation

Correct option: B

\frac{10}{7}

squnits

Option C (

\frac{18}{7}

sq units) is correct because the area of the isosceles triangle is calculated using the base and height, which are determined by the intersection points of the 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