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

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


A variable line makes intercepts on the coordinate axes the sum of whose squares is constant and is equal to a^2. Find the locus of the foot of perpendicular from the origin to this line.

6 years ago


Answers : (1)


Dear Karthik,


eq of line is x/p + y/q = 1 where p , q are intercept on x. y axis

alos given,  p2 + q2 = a2      eq 1

let foot of perpendicular is x1, y1


this point should lie on x/p + y/q = 1

so,  x1/p + y1 /q =1


also  (y1/x1 ) * ( - q/p ) = -1       eq2

find value of p, q from eq1 and eq2 and sunstitute in x1/p + y1 /q =1.



Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.

All the best.

Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..


Askiitians Expert

Anil Pannikar

IIT Bombay

6 years ago

Post Your Answer

Other Related Questions on Analytical Geometry

If the chord of contact of tangents from a point P(h,k) to the circle x 2 + y 2 = a 2 touches the circle x 2 + (y-a) 2 = a 2 , then locus of P is
Equation of chord of contact from p(h,k) to x 2 + y 2 = a 2 is xh + yk = a 2 this line touches (x) 2 + (y-a) 2 = a 2 substituting x= (a 2 -yk)/h from the first equation, we get a quadratic...
JOEL JOHNSON 2 months ago
a variable straight AB intersecting the x and y axes at A & B always passes through a fixed point(a,b).Find the locus of the point dividing AB in 2:1
jagdish singh singh 9 days ago
jagdish singh singh 9 days ago
Problem 6...................... Just to reach minimum character limit)
Call the intersection of PF and DQ as G. Since Ang GFE+ Ang GDE = 180 0 , GFED is a cyclic quad and hence G also lies on the incircle. Now join FD. Let Ang FED = b. Then it easily follows...
mycroft holmes 4 days ago
could u plz answer the 21 st qstn of misc.exercise of chpt-5, class 12,ncert-“does there exist a function which is continous everywhere but not differentiable at exactly 2 points? justify.” ...
I answered exactly same questions for another user 3 days ago. Please check the answer for previous question under same topic.
Ajay 2 months ago
How To Solve These type of equations... (9x 2- 3x-2)(x 2 -3x+2)=21. what is the Value(s) of “x”??
PFA Otherwise u can form biquadratic and take 21 on other side and try factorizing using hit and trial.
Harsh Patodia one month ago
Write the equation as (3x+1)(3x-2)(x-1)(x-2) = 21 Club the 2 nd and 3 rd factors, and 1 st and 4 th factor to get (3x 2 -5x+2)(3x 2 -5x+2) = 21 or (3 x 2 -5x) 2 – 4 = 21 from which 3x 2 -5x ...
mycroft holmes one month ago
But ,I also want to know how many of the roots are irrational or rational. How I can judje this on number line.
Kuldeep Pal one month ago
what is the remainder when 45^17^17 is divided by 204
Ohh yes you can use 45.(2045)^144 . write 2025 as factor + remainder of 204. Then use binomial to get answer
Sourabh Singh 8 months ago
This is 45^289.Expand using binomial and you will get the answer like 45.45^288 45.1225^144 Use binomial expansion now
Sourabh Singh 8 months ago
The answer for your question is 2.942973243e+475 all th best for your bright future this is correct answer
Prabhakar ch 8 months 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

Get extra R 350 off

More Questions On Analytical Geometry

Ask Experts

Have any Question? Ask Experts

Post Question

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