 ×     #### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-1023-196

+91-120-4616500

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: Rs.

There are no items in this cart.
Continue Shopping

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) a 2 + b 2 = p 2 + q 2 B) a 2 + p 2 = b 2 + q 2 C) 1/a 2 + 1/b 2 = 1/p 2 + 1/q 2 D) 1/a 2 + 1/p 2 = 1/b 2 + 1/q 2


11 years ago

							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


11 years ago
							H

2 years ago
							Here the length of perpendicular from origin to the lines would be equal hence on equating that distance we get√(1/p^2 +1/q^2)=√(1/a^2+1/b^2)On squaring both sides we get the answer

2 years ago 605 Points
							Dear student,Please find the answer to your question. Here the length of perpendicular from origin to the lines would be equal hence on equating that distance we get√(1/p^2 +1/q^2)=√(1/a^2+1/b^2)On squaring both sides we get the answerHence the correct option will be C Thanks and regards,Kushagra

2 months ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Analytical Geometry

View all Questions »  ### Course Features

• 731 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution  ### Course Features

• 53 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions