Home
Class 12
MATHS
Ror the curve sin x+ sin y=1 lying in th...

Ror the curve `sin x+ sin y=1` lying in the first quadrant there exists a constant `alpha` for which `lim _(x to 0) x ^(alpha)(d ^(2)y)/(dx ^(2))=I,` (not zero)
The volue of L:

A

`1/2`

B

1

C

`(1)/(2sqrt2)`

D

`(1)/(2sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|2 Videos

  • LIMIT

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos

  • LIMIT

    VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|16 Videos

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|6 Videos

  • LOGARITHMS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|19 Videos

Similar Questions

Explore conceptually related problems

For the curve sin x + si y=1 lying in the first quadrant there exist a constant a for which lim _(x to 0) x ^(a) (d^(2)y)/(dx ^(2)) =L (not zero), then 2 alpha=

For the curve sinx+siny=1 lying in first quadrant. If lim_(xrarr0) x^(alpha)(d^(2)y)/(dx^(2)) exists and non-zero than 2alpha=

Find the area lying in the first quadrant, bounded by the curves y^2-x+2 = 0 and y=|x-2| .

The area bounded by the curves y=sqrt(x),2y-x+3=0, X-axis and lying in the first quadrant is

lim_(x rarr2)((cos alpha)^(x)+(sin alpha)^(x)-1)/(x-2)

If y=sin^(-1)x , show that (1-x^(2))(d^(2)y)/(dx^(2))-xdy/dx=0 .

If x cos alpha +y sin alpha = 4 is tangent to (x^(2))/(25) +(y^(2))/(9) =1 , then the value of alpha is

For the hyperbola (x^(2))/(cos^(2)alpha)-(y^(2))/(sin^(2)alpha)=1; (0