Home
Class 12
MATHS
If the pair of lines ax^2 +2hxy+ by^2+ 2...

If the pair of lines `ax^2 +2hxy+ by^2+ 2gx+ 2fy +c=0` intersect on the y-axis then

A

`f^2=bc`

B

abc=2fgh

C

`bg^2 ne ch^2`

D

`2 fgh = bg^2+ch^2`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|9 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|5 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|12 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos

Similar Questions

Explore conceptually related problems

If the straight lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the X -axis,then

The principal axes of the hyperbola ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 are parallel to the lines

the equation ax^(2)+ 2hxy + by^(2) + 2gx + 2 fy + c=0 represents an ellipse , if

If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y -axis then b^(2)g^(2)=ch^(2)(b)abc=2fgh2fgh=bg^(2)+ch^(2)f^(2)=bc

If the centre of the hyperbola whose equation is ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 " be " (alpha, beta) , then find the equation of the asymptotes.

If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two straights lines, then the product of the perpendicular from the origin on these straight lines, is

If the lines represented by ax^(2)+4xy+y^(2)+8x+2fy+c=0 interseet on Y -axis,then (f,c)=

If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

If one of the lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 passes through the origin then