Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
if the cord joining the points t1 and t2 to the parabola y^2 =4ax is normal to the parabola at t1 then prove that t1(t1+t2)=-2
Hi Rohit,
y2 = 4ax, will give dy/dx = 2a/y.
Hence, slope of tangent at t1 is 2a/2at1 = 1/t1.
So slope of normal at point t1 is -t1.
Also slope of line joining t1 and t2 is (2at2 - 2at1 / at22 - at12), which is equal to 2/(t1+t2).
The two slopes are the same. Hence
2/(t1+t2) = -t1, or t1(t1+t2) = -2.
That solves the problem.
Hope that helps.
All the best,
Regards,
Ashwin (IIT Madras)
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Win Gift vouchers upto Rs 500/-
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !