Home
Class 12
MATHS
Find the area of the triangle formed by ...

Find the area of the triangle formed by the lines represented by `ax^2+2hxy+by^2+2gx+2fy+c=0` and axis of x .

Text Solution

Verified by Experts

The correct Answer is:
`(|g^2-ac|)/(|a|sqrt(h^2-ab))`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 5|10 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|12 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 3|9 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

if h^2=ab , then the lines represented by ax^2+2hxy+by^2=0 are

Area of the triangle formed by the lines y^2-9xy+18x^2=0 and y=9 is

Find the area of the triangle formed by the lines joining the vertex of the parabola x^2 = 12y to the ends of its latus rectum.

Find the area of the triangle formed by the lines joining the vertex of the parabola x^2= 12y to the ends of its latus-rectum.

Find dy/dx if ax^2+2hxy+by^2+2gx+2fy+c=0

Show that the area of the triangle formed by the lines whose equations are : y=m_1x+c_1, y= m_2 x+c_2 and x=0 is : ((c_1-c_2)^2)/(2|m_1-m_2|) .

Show that the area of the triangle formed by the lines ax^2+2hxy+by^2=0 and lx+my+n=0 is (n^2sqrt((h^2-ab)))/(|(am^2-2hlm+bl^2)|)

Find the condition that the slope of one of the lines represented by ax^2+2hxy+by^2=0 should be n times the slope of the other .

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle x^2+y^2=9 and the line joining their points of contact.