Home
Class 11
MATHS
Prove that the equation 3x^(2)+7xy+2y^(2...

Prove that the equation `3x^(2)+7xy+2y^(2)+5x+5y+2=0` represents a pair of straight lines and find the co-ordinates of the point of intersection.

Text Solution

Verified by Experts

The correct Answer is:
`P((-3)/(5),(-1)/(5))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 4(b) III. |4 Videos

  • PAIR OF STRAIGHT LINES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 4(c) I. |2 Videos

  • PAIR OF STRAIGHT LINES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 4(b) I. |2 Videos

  • MATRICES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS |45 Videos

  • PRODUCT OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|46 Videos

Similar Questions

Explore conceptually related problems

Prove that the equation 3x^2+7xy+2y^2+5x+5y+2=0 represents a pair of straight lines and find the coordinates of the point of intersections.

Prove that the equation 2x^(2)+xy-6y^(2)+7y-2=0 represents a pair of straight lines.

Prove that the equation 2x^(2)+xy-6y^(2)+7y-2=0 represents a pair of straight lines.

If x^(2)+xy-2y^(2)+4x-y+k=0 represents a pair of straight lines find k.

If x^(2)+xy-2y^(2)+4x-y+k=0 represents a pair of straight lines, find k.

Prove that the equation 3x^(2)+7xy+2y^(2)+5x+5y+2=0 represents a pair of straight lines. Find the point of intersection. Also find the angle between them.

Prove that the equation 2x^(2)+3xy-2y^(2)+3x+y+1=0 represents a pair of perpendicular lines and find the lines.

Prove that the equation 2x^(2)+3xy-2y^(2)-x+3y-1=0 represents a pair of perpendicular straight lines.

Prove that the equation 2x^(2)+3xy-2y^(2)-x+3y-1=0 represents a pair of perpendicular straight lines.

Prove that the equation 2x^(3)+3xy-2y^(2)+3x+y+1=0 represents a pair of perpendicular lines.

Home
Profile