 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
```        The locus of a point from which 3 normals can be drawn to y2=4x such that the sum of the angles made by them with the axis is 3pie/4 is a
a) parabola
b) circle
c) straight line
d) none of these```
9 years ago

```							Dear student,
Write the equation of normal to parabola.

Normal at the Point (x1, y1 ):
The equation of the tangent at the point (x1, y1) is yy1 = 2a(x + x1). Since the slope of tangent = 2a/y1 , slope of normal is -y1/ 2a . Also it passes through (x1, y1).
Hence its equation is y - y1 = y1 / 2a ( x - x1 )                          . . . . .   (i)

Normal in Terms of m:

In equation (i), put - y1 / 2a = m so that y1 = -2am and x1 = y12 / 4a = am2, then the equation becomes
y = mx - 2am - am3                                                     . . . . .  (ii)
where m is a parameter. Equation (ii) is the normal at the point (am2, -2am) of the parabola.

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.

Sagar Singh
B.Tech, IIT Delhi
sagarsingh24.iitd@gmail.com

```
9 years ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Magical Mathematics[Interesting Approach]

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

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