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

				   Line 'L' has interceps a and b on the coordinate axis. When the axis are rotated through a given angle, keeping the origin fixed, the same line 'L' has intercepts p and q on the new axis, then
A) a2 + b2 = p2 + q2
B) a2 + p2 = b2 + q2
C) 1/a2 + 1/b2 = 1/p2 + 1/q2
D) 1/a2 + 1/p2 = 1/b2 + 1/q2


7 years ago

Share

										hi,
in the first coordinate sys,
x/a + y/b = 1     ..............................1
in other
x'/ p + y'/q  =1
where

\begin{align} x'&=x\cos\theta+y\sin\theta\\ y'&=-x\sin\theta+y\cos\theta. \end{align}

so,  x {  cos θ/p - sinθ /q }   + y { sinθ /p  + cosθ/ q }  =1
comparing with (1).....
{  cos θ/p - sinθ /q }/ 1/a   = { sinθ /p  + cosθ/ q }  / 1/b = 1/1
cos θ/p - sinθ /q   = 1/a  ...............2
sinθ /p  + cosθ/ q  = 1/b ........................3
1/p^2 +  1/q^2  = 1/a^2 + 1/b^2


7 years ago

# Other Related Questions on Analytical Geometry

Find the locus of the mid-point of the chord of the circle x 2 + y 2 = a 2 which subtends a 90 degree angle at point (p,q) lying inside the circle .

The point (p,q) does not lie on the circle . also by substituting x1 =p and y1=q . the answer is not matching

 R B one month ago

Just apply the formulae as T=S1. that is: xx1 + yy1 – a^2 = x1^2 + y1^2 – a^2 where x1 = p and y1 =q.

 Vikas TU 2 months ago
The locus of the centre of circles touching the y-axis and circle x + y – 2x = 0 externally is

First find out the radius of the circle given: x^2 + y^2 – 2x = 0 . And assume locus of center be P(a,b) and T be touching point and And foot of a perpendicular line from P to H. then by...

 Vikas TU 2 months ago
length of portion of the line x=y+2 intersepted by the circle x 2 +y 2 =100 is

The circle has center at O(0, 0) and radius as 10 Ley the the intercept which line cuts the circle be AB and M be mid point of AB then clearly OM = distance of line x=y+2 from O(0,0) =...

 Ajay 2 months ago

Just solve the x=y+2 with circle eqn by sy=ubstituting the x value. and find the x and y coordinates. then use distnace formulae for calculating the distance..

 Vikas TU 2 months ago
solve it...

The trace of a matrix is the sum of the elements of the principle diognal. for given matrix principle diognal elements are -4,-1,1.. ThereforeT r (A)=-4-1+1 =-4.

 PRAPULPODISHETTI one year ago

hi The trace of a matrix is the sum of the elements of the principle diognal. for given matrix principle diognal elements are -4,-1,1.. ThereforeT r (A)=-4-1+1 =-4.

 Ankit Jaiswal 8 months ago

trace matrix is equals to diognal elements so(A)=-4-1+1 =-4. r diognal elements are -4,-1,1 T

 SHANMUKESHWAR one year ago
if ax²+bx+c is a quadratic equation. IF two persons A and B are there.if A person wrote the constant term c, wrong, he got roots as 8,2. IF B person wrote the coefficient of x² wrong he got...

Hey The quadratic eqn for person A, ------------------(1) Comparing this with the standard form we get, b/a = -10 Now the quadratic Eqn for person B is :- In this the leadingcoefficient is...

 Nishant Vora one month ago
WHAT IS A VECTOR SPACE.....................................................?

DEAR NAG, A VECTOR SPACE IS THE SET OF ANY NUMBERS THAT SATISFIES THE TEN PROPERTIES OF VECTOR ADDITION AND SCALR MULTIPLICATION.

 T Dileep 3 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
USE CODE: SSPD25

Get extra R 350 off
USE CODE: SSPD25

More Questions On Analytical Geometry