Home
Class 12
MATHS
Show that if two of the lines ax^3+bx^2y...

Show that if two of the lines `ax^3+bx^2y+cxy^2+dy^3=0 (a ne 0)` make complementary angles with X -axis in anti -clockwise sense, then a(a-c)+d(b-d)=0 .

Text Solution

Verified by Experts

The correct Answer is:
`therefore a(a-b)+d(b-d)=0`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 2|10 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)|35 Videos

Similar Questions

Explore conceptually related problems

Two of the straight lines given by 3x^3 +3x^2y-3xy^2+dy^3=0 are at right angles , if d equal to

If two of the lines represented by ax^4 +bx^3y +cx^2 y^2+dxy^3+ay^4=0 bisects the angle between the other two, then

If the lines ax+12y+1=0, bx+13y+1=0 and cx+14y+1=0 are concurrent, then a,b,c are in:

If the lines ax+by+c=0, bx+cy+a=0 and cx+ay+b=0 (a, b,c being distinct) are concurrent, then

Find the reflection of the plane a\'x+b\'y+c\'z+d\'=0 in the plane ax+by+cz+d=0

The condition on a and b , such that the portion of the line a x+b y-1=0 intercepted between the lines a x+y=0 and x+b y=0 subtends a right angle at the origin, is a=b (b) a+b=0 a=2b (d) 2a=b

Equation ax^3-9x^2y-xy^2+4y^3=0 represents three straight lines. If the two of the lines are perpendicular , then a is equal to a. -5 b. 5 c. -4 d. 4

The straight line through the point of intersection of ax + by+c=0 and a'x+b'y+c'= 0 are parallel to the y-axis has the equation

Show that the two straight lines x^2(tan^2theta+cos^2theta)-2xy tantheta+y^2sin^2theta=0 Make with the axis of x angles such that the difference of their tangents is 2 .