#### Thank you for registering.

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

Please check your email for login details.

Click to Chat

1800-1023-196

+91 7353221155

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

# if tangent at point p(2,4)to parabnola ysq.=8x meet  ysq=8x+5 at q  r is the midpoint of pq them find r?

## 2 Answers

9 years ago

Hi Akhilesh,

The Eqn of Tangent is T=0

ie 4y = 4(x+2), which meets the parabola y2=8x+5.

Solve the line Eqn with the 2nd Parabola, y2=8y-11

y2-8y+11=0

y = {8 (+/-) √20}/2

Correspondingly you'll get two values of x = y-2.

So there are two points where the line would meet the Parabola at "Q1" and "Q2".

Find the corresponding two midpoints.(Please do the Calculation on your own).

Else if your question was to the find the midpoint of the points where the Tangent meets the parabola, then y1+y2=8

And x1+x2=y1+y2-4 = 4

So midpoint would be (2,4)-------- of the two points, where the Tangent meets the second parabola.

Hope that helps.

Best Regards,

Ashwin (IIT Madras).

## ASK QUESTION

Get your questions answered by the expert for free