Click to Chat

0120-4616500

CART 0

• 0

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
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 350 off
USE CODE: SSPD25

```				   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

Share

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

```
2 years ago
```										Vikas chutiya hai bahut chutiya hai chutiya chutiya hai  hai chutiya hai chutiya hai chutiya hai chutiya hai chutiya hai chutiya hai
```
21 days ago

# Other Related Questions on Analytical Geometry

A square has two of its side on a circle and other two on a tangent to the circle. Find area of square if radius of circle is 5cm.

Two of its SIDE on circle ?????? Pls correct the question Thanks

 Nishant Vora 2 months ago
If a+b+c=0,then the family of lines 3ax + by + 2c = 0 pass through the fixed point

Dividing the whole eqn. by 2 and comparing with a+b+c = 0 3ax + by + 2c = 0 we get, 3a/2 x + b/2 y + c = 0 3x/2 = 1 x = 2/3 and y/2 = 1 y = 2. hence (x,y) that is (2/3 , 2) is the fixed...

 2017 years ago
what is GIF{greater integer function} [x]?? what is meant by {x}??

There are many integer smaller than a particular number and the integer greatest in those set of smaller integer is called greatest integer and the function which do so is called GIF....

 Suyash Karn one month ago
HOE TO CALCULATE IF MAGNITUDES AND ANGLE IS GIVEN OF TWO VECTORS ?

to calculate if magnitudes and angle of two vectors is given you can use the parallelogram law.in parallelogram law it can use only magnitude and angle between two vectors.

 SAI SARDAR one year ago
prove that root 3 is irrational number?

P and Q are natural numbers, and hence in the prime factorization of P 2 and Q 2 , every prime factor appears to an even power. Now in the equation P 2 =3Q 2 we have a contradiction as LHS...

 mycroft holmes one month ago

prove that for all p,q that equation not satisfies. and send post the answer . need proof for that, how do I conclude that is not going to satisfy by directly telling so just post it

 BHOOPELLY SAIKUMAR one month ago

WE NEED TO PROVE THAT FOR ALL P,Q SUCH THAT P 2 =3Q 2 DOESN’T EXIST WHERE P,Q BELONGS TO Z. so justify ur answer with proper reason ….

 BHOOPELLY SAIKUMAR one month ago
View all Questions »

• Complete JEE Main/Advanced Course and Test Series
• OFFERED PRICE: R 15,000
• View Details
Get extra R 3,750 off
USE CODE: SSPD25

Get extra R 350 off
USE CODE: SSPD25

More Questions On Analytical Geometry