Home
Class 11
MATHS
If a function is represented parametrica...

If a function is represented parametrically by the equations `x=(1+log_(e)t)/(t^2),y =(3+2log_et)/(t)` , then which of the following statement are true ?

A

`y''(x-2xy')=y`

B

`yy'=2x(y')^2+1`

C

`xy'=2y(y')^2+2`

D

`y''(y-4xy')=(y')^2`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED)) (Linked Comprehension Type Questions)|2 Videos
  • DIFFRENTATION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED)) (Integer Type Questions)|5 Videos
  • DIFFRENTATION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (LECTURE SHEET (ADVANCED)) (Integer Type Questions)|4 Videos
  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos
  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

A function is represented parametrically by the equations x=(1+t)/(t^3),y=3/(2t^2)+2/t then (dy)/(dx) -x ((dy)/(dx))^3 has the absolute value of equal to

A cure is represented parametrically by the equation x=f(t)=a^(In(b^t)) and y=g(t)=b^(-In(a^t))a,b gt0 and a = ne 1, b ne 1 where t in R Which of the following is not a correct expression for (dy)/(dx) ?

A cure is represented parametrically by the equation x=f(t)=a^(In(b^t)) and y=g(t)=b^(-In(a^t))a,b gt0 and a = ne 1, b ne 1 where t in R The value of (d^2y)/(dx^2) at the point where f(t) = g(t) is

A cure is represented parametrically by the equation x=f(t)=a^(In(b^t)) and y=g(t)=b^(-In(a^t))a,b gt0 and a = ne 1, b ne 1 where t in R The value of (f(t))/(f'(t)).(f''(-t))/(f'(-t))+(f(-t))/(f'(t)).(f''(t))/(f''(t))AAtinR is equal to

The parametric equation x=2a((1-t^(2)))/(1+t^(2)) and y=(4at)/(l+t^(2)) represent a circle of radius

The graph represented by the equations x= sin ^(2) t, y = 2 cos t is

The parametric equations x=(2a(1-t^(2)))/(1+t^(2)) and y=(4at)/(1+t^(2)) represents a circle whose radius is

int_(log2)^(t)(dx)/(sqrt(e^(x)-1))=(pi)/(6) , then t=

AAKASH SERIES-DIFFRENTATION-ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED)) (More than One correct answer Type Questions)
  1. Suppose f and g are functions having second derivatives f'' and g'' ev...

    Text Solution

    |

  2. If a function is represented parametrically by the equations x=(1+log(...

    Text Solution

    |