JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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One diagonal of a square is the portion of the line

3 x+2 y=12

intercepted between the axes. The coordinates of the extremity of the other diagonals not lying in the first quadrant are

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Correct option: C

(-1,1)

Option C ((-1,1)) is correct because it satisfies the condition that the other diagonal's extremity lies on a line derived from the square's properties and the given diagonal.

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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

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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