Get Answers to all your Questions

header-bg qa

Which of the following is true for pair of straight lines x^{2}-4 x y+4 y^{2}+2x+2 y-2=0

Option: 1

Both lines are perpendicualr


Option: 2

Both lines are parallel


Option: 3

Lines intersect at (3/2,-1)


Option: 4

Both A and C


Answers (1)

best_answer

 

 

Point of Intersection of Pair of Straight Lines -

Point of Intersection of Pair of Straight Lines

To get the point of intersection, first find the component straight line and solve them simultaneously.

You can also direct formula to get the point of intersection,
\left ( \frac{bg-hf}{h^2-ab},\frac{af-gh}{h^2-ab} \right )

-

 

 

\text{From above concept the point of intersection is }\\ \begin{array}{l}{\text { Direct formula to get the point of intersection }} \\ {\left(\frac{b g-h f}{h^{2}-a b}, \frac{a f-g h}{h^{2}-a b}\right)}\end{array}\\ x^{2}-4 x y+4 y^{2}+2x+ 2y-2=0\\ a=1,b=4,g=1,f=1,h=-2,c=-2\\ {\left(\frac{2\cdot 1 -(-2) \cdot 1}{(-2)^{2}-4\cdot 1}, \frac{1\cdot 1-1\cdot (-2)}{(-2)^{2}-4\cdot 1}\right)}\\ h^2-ab=0\\ \text{So both lines are parallel lines}

Posted by

mansi

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE