MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Menu
Aman Singh Grade:
        

A straight line L through the origin meets the lines x+y=1 and x+y=3 at P and Q respectively.Through P and Q two straight lines L1 and L2 are drawn, parallel to 2x-y=5 and 3x+y=5 respectively. Lines L1 and L2 intersect at R. Show that the locus of R, as L varies, is a straight line.

6 years ago

Answers : (3)

vikas askiitian expert
510 Points
										

let the eq of line L be y =mx , here m is the slope  of line..                  (m is variable)


 


 point of intersection of L & x+y=1 is P & point of intersection of L & x+y=3 is Q .....


               then  P =( 1/m+1  , 1/m+1 )  &


                       Q= ( 1/m+3  , 1/m+3)


line through P is parallel to 2x-y=5 so its slope is same as that of line....


          mp=2


 line through Q is parallel to 3x+y=5 so its slope is same as that of line.....


         mq = -3


eq of line passing through P is L1 = (y-(1/m+1) ) = (x-(1/m+1)).2     ........................1


 


eq of line passing through Q is L2 = (y-(1/m+3)) = (x-(1/m+3)).(-3)                ...........................2


 


point of intersection of these lines is  R (X,Y)


          then after solving 


        X = 13/5(m+1)        and Y=21/5(m+1)


locus of R is          Y=21X/13          which is a straight line passing through origin


 


 

6 years ago
rrrrr
8 Points
										

this answer is wrong. correct answer is x-3y+5=0


 

3 years ago
Shubham Sinha
24 Points
										Vikas chutiya hai bahut chutiya hai chutiya chutiya hai  hai chutiya hai chutiya hai chutiya hai chutiya hai chutiya hai chutiya hai
										
3 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,000 off
USE CODE: MOB20
Get extra R 280 off
USE CODE: MOB20

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details