Home
Class 12
MATHS
If (x-a)^(2)+(y-b)^(2)=c^(2), then prove...

If `(x-a)^(2)+(y-b)^(2)=c^(2)`, then prove that `([1+((dy)/(dx))^(2)]^(3//2))/((d^(2)y)/(dx^(2)))` is a constant and independent of a and b.

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART IX) Sample Questions |5 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART XI) QUESTION FOR PRACTICE (4 MARK) |7 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART VIII) QUESTION FOR PRACTICE (1 MARK) |2 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos

Similar Questions

Explore conceptually related problems

If y=x^(x) , then prove that (d^(2)y)/(dx^(2))-(1)/(y)((dy)/(dx))^(2)-(y)/(x)=0

If y^(x)=e^(y-x) , then prove that (dy)/(dx)=((1+log y)^(2))/(logy) .

If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) , then prove that (dy)/(dx)=sqrt((1-y^(2))/(1-x^(2)))

If y=[x+sqrt(x^(2)+a^(2))]^(n) , then prove that (dy)/(dx)=(ny)/(sqrt(x^(2)+a^(2)))

If y=(x)/(x+2) then prove that x(dy)/(dx)=(1-y)y .

If y=e^(x)sinx , then prove that (d^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0 ,