badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

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

Please check your email for login details.
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
Menu
Grade: 12

                        

1-the normal to a curve at p (x,y) meets the x-axis at G if the dist of G from origin is twice the abscissa of p , find curve 2- u see in this q - dy/dx( e to the power x + 1/e to the power x)+1=0 find soln as real ans is c1e to the power x + c2 e to the power -x why diff ans 3-1-the normal to a curve at p (x,y) meets the x-axis at G if the dist of G from origin is twice the abscissa of p , find curve respected sir plz check the soln again which u provid 1- find the eqn of curve which is such that the portion of the axis of x cut off b/w the origin and tangent at any pt is proportional to the ordinate of that pt

6 years ago

Answers : (1)

mamillapelly bhagath
33 Points
							P(x, y) and G(2x, 0) are 2 points on the normal.

So, slope of the normal is, m=0-y2x-x=-yx 

This means that the slope of the curve to which the normal was drawn is = -1m=xy 

Thus, the equation of the curve is:-

Y-y=xy(X-x)i.e., Yy-y2=Xx-x2i.e., Xx-Yy=x2-y2 


(2) 

xy=1yx 

?xyyx=1?log (xyyx)=log 1?log(xy)+log(yx)=0 

?ylogx + xlogy=0?ddx(ylogx + xlogy)=ddx(0)?yx+logxdydx+logy+xydydx=0 

?dydx(logx+xy)=-logy-yx?dydx=-logy+yx(logx+xy) 

?dydx=-(xlogy+y)y(ylogx+x)x?dydx=-y2+xy logyx2+xy logx
						
6 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


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

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


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details