Home
Class 12
MATHS
If the equation 2hxy+2gx+2fy+c=0 repre...

If the equation `2hxy+2gx+2fy+c=0 ` represents two straight lines, then show that they form a rectangle of area `(|fg|)/(h^2)` with the coordinate axes.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|10 Videos

  • PAIR OF STRAIGHT LINES

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

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|9 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 equation ax^2+by^2+cx+cy=0 represents a pair of straight lines , then

If ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two parallel straight lines, then

If ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents parallel straight lines, then

The equation ax+by+c=0 represents a straight line

If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of parallel lines, then

The equation 3ax^2+9xy+(a^2-2)y^2=0 represents two perpendicular straight lines for

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 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

The equation 3x^2+2hxy+3y^2=0 represents a pair of straight lines passing through the origin . The two lines are

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