Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • What can be the value of   for these two lines to be intersecting ?  <img alt="L_1 : 10

What can be the value of  \lambda for these two lines to be intersecting ? 

L_1 : 10 x + (\lambda ^2 -3 \lambda )y + 3 = 0 \\ L_2 : 5x - y +1 = 0

Option: 1

 \lambda = 3 


Option: 2

 \lambda = 2 


Option: 3

 \lambda = 1 


Option: 4

All values are possible 


Answers (1)

best_answer

As we have learned

Intersecting lines -

\frac{A_{1}}{A_{2}}\neq \frac{B_{1}}{B_{2}}  

 

 

- wherein

The two lines are A_{1}x+B_{1}y+C_{1}=0  and A_{2}x+B_{2}y+C_{2}=0

 

 Here    \frac{A_{1}}{A_{2}}\neq \frac{B_{1}}{B_{2}}  

\frac{10}{5}\neq \frac{\lambda ^2-3\lambda }{-1}

Thus \lambda ^2 - 3\lambda \neq -2 \\\Rightarrow \lambda ^2 - 3 \lambda + 2 \neq 0 \\ \lambda \neq 1,2

 

 

     

 

Posted by

Anam Khan

View full answer

JEE Main high-scoring chapters and topics

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

Similar Questions