Home
Class 11
MATHS
Find the condition for the lines joining...

Find the condition for the lines joining the origin to the points of intersections of `5(x^(2)+y^(2)+bx+ay)=9 ab and (x)/(a)+(y)/(b)=1` are at right angles.

Text Solution

Verified by Experts

The correct Answer is:
`a=2b(OR)b=2a`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITION EXERCISE|5 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -I|50 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE - 4.2 ( LONG ANSWER QUESTIONS)|21 Videos

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos

  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the lines joining the origin to the points of intersection of x^2 + y^2 =1 and x + y = 1.

Show that lines joining the origin to the points of intersection of 2(x^(2)+y^(2))=1 and x+y=1 coincide.

The equation of the pair of lines joining the origin to the points of intersection of x^(2) + y^(2) = 9 and x + y = 3 , is

The equation of the pair of lines joining the origin to the points of intersection of x^2+y^2=9 and x+y=3 , is

Find the condition for the lines joining the origin to the points of intersection of the circle x^2+y^2=a^2 and the line lx+my=1 to coincide.

Find the condition for the lines joining the originto the points of intersection of the circle x^2 + y^2 = a^2 and the line lx + my = 1 to coincide.

The angle between the lines joining the origin to the point of intersection of lx+my=1 and x^2+y^2=a^2 is

The angle between the lines joining the origin to the points of intersection of curve x^(2)+hxy-y^(2)+gx+fy=0 and fx-gy=k is