Home
Class 12
MATHS
Two pairs of straight lines have the equ...

Two pairs of straight lines have the equations `y^(2)+xy-12x^(2)=0andax^(2)+2hxy+by^(2)=0`. One line will be common among them if

A

a=-3(2h+3b)

B

a=8 (h-2b)

C

a=2(b+h)

D

a=-3(b+h)

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

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

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|2 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|10 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|29 Videos

  • PARABOLA

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

Similar Questions

Explore conceptually related problems

If the pair of lines x^(2)+2xy+ay^(2)=0 and ax^(2)+2xy+y^(2)=0 have exactly one line in common, then a =

The condition that one of the straight lines given by the equation ax^(2)+2hxy+by^(2)=0 may coincide with one of those given by the equation a'x^(2)+2h'xy+b'y^(2)=0 is

If the pairs of lines x^(2)+2xy+ay^(2)=0andax^(2)+2xy+y^(2)=0 have exactly one line in common then the joint equation of the other two lines is given by

The equation of the lines parallel to the line common to the pair of lines given by 6x^(2)-xy-12y^(2)=0 and 15x^(2)+14xy-8y^(2)=0 and the sum of whose intercepts on the axes is 7, is

The equations of a line which is parallel to the line common to the pair of lines given by 6x^(2)-xy-12y^(2)=0and15x^(2)+14xy-8y^(2)=0 and at a distance of 7 units from it is :

The angle between the straight lines given by the joint equation x^2+4xy+y^2+2x+4y+1 =0

Consider the equation of a pair of straight lines as 2x^(2)-10xy+12y^(2)+5x-16y-3=0 . The angles between the lines is theta . Then the value of tan theta is

Show that the pairs of straight lines 2x^2+6x y+y^2=0 and 4x^2+18 x y+y^2=0 have the same set of angular bisector.

Show that the pairs of straight lines 2x^2+6x y+y^2=0 and 4x^2+18 x y+y^2=0 have the same set of angular bisector.

Statement I. if alpha beta=-1 then the pair of straight lines x^2-2alphaxy-y^2=0 and y^2+2betaxy-x^2=0 are the angle bisector of each other. Statement II. Pair of angle bisector lines of the pair of lines ax^2+2hxy+by^2=0 is h (x^2-y^2)=(a-b)xy.