Home
Class 12
MATHS
Find the coordinates of points where pai...

Find the coordinates of points where pair of lines given by equation `2x^(2)-6y^(2)+xy-2x+17y-12=0` intersect line `x=1`.

Text Solution

Verified by Experts

Let the given pair of straight lines intersect line `x=1` at (1,y).
Putting this point in the given equation , we get
`2-6y^(2)+y-2+17y-12=0`
`rArry^(2)-3y+2=0`
`rArr (y-1)(y-2)=0`
`rArry=1,y=2`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    CENGAGE|Exercise Exercise 3.1|6 Videos

  • PAIR OF STRAIGHT LINES

    CENGAGE|Exercise Exercise 3.2|7 Videos

  • MONOTONOCITY AND NAXINA-MINIMA OF FUNCTIONS

    CENGAGE|Exercise Comprehension Type|6 Videos

  • PARABOLA

    CENGAGE|Exercise Question Bank|9 Videos

Similar Questions

Explore conceptually related problems

Distance between the pair of lines represented by the equation x^(2)– 6xy +9y^(2)+ 3x - 9y -4 = 0 is

The distance between the two lines represented by the equation 9x^2-24xy+16y^2-12x+16y-12=0 is

Find the separate equations of the lines given by 2x^(2)+5xy+2y^(2)+9x+6y+4=0

Find the point of intersection of the pair of straight lines represented by the equation 6x^2+5x y-21 y^2+13 x+38 y-5=0.

Find the separate equation of straight lines by the following equation 2x^2+2xy-y^2=0 .

Find the separate equation of the following pair of straight lines 2x^(2)-xy-3y^(2)-6x+19y-20=0

Find the separate equation of the following pair of straight lines 3x^(2)+2xy-y^(2)=0