Home
Class 12
MATHS
If x=3tant and y=3sect then find (d^2y)/...

If `x=3tant` and `y=3sect` then find `(d^2y)/(dx^2)` at `x=(pi)/(4)` (a) `3` (b) `(1)/(6sqrt2)` (c) `1` (d) `(1)/(6)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

If x = 3 tant and y = 3 sec t, then the value of (d^2y)/(dx^2)" at" t=pi/4 is

If (sinx)(cosy)=1/2, then (d^2y)/(dx^2) at (pi/4,pi/4) is (a) -4 (b) -2 (c) -6 (d) 0

If x=acos^3theta and y=asin^3theta, then find the value of (d^2y)/(dx^2) at theta=pi/6dot

If x=acos^3theta and y=asin^3theta, then find the value of (d^2y)/(dx^2) at theta=pi/6dot

If y=x^(4) , find (d^(2)y)/(dx^(2))and(d^(3)y)/(dx^(3)) .

If x=a t^2,\ \ y=2\ a t , then (d^2y)/(dx^2)= -1/(t^2) (b) 1/(2\ a t^3) (c) -1/(t^3) (d) -1/(2\ a t^3)

If y="sec"(tan^(-1)x),t h e n (dy)/(dx) at x=1 is (a) cos(pi/4) (b) sin(pi/2) (c) sin(pi/6) (d) cos(pi/3)

If x=sect+tant and y=sect - tant , where t is a parameter, then the value of (dy)/(dx) when x=(1)/(sqrt3) is

If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(dx) is equal to 4 (b) 3 (c) 1 (d) 0

If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(dx) is equal to 4 (b) 3 (c) 1 (d) 0

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. If the circles x^2+y^2-16x-20y+164=r^2 and (x-4)^2+(y-7)^2=36 intersec...

    Text Solution

    |

  2. Find the eccetricity of hyperbola through (4,2) whose centre is (0,0)...

    Text Solution

    |

  3. If x=3tant and y=3sect then find (d^2y)/(dx^2) at x=(pi)/(4) (...

    Text Solution

    |

  4. Let A={x:xepsilonR-{1}}f is defined from ArarrR as f(x)=(2x)/(x-1) the...

    Text Solution

    |

  5. Let a,b,c are 7^(th), 11^(th) and 13^(th) terms of constant A.P if a,b...

    Text Solution

    |

  6. Let real and distinct roots of equation x^2-mx+4=0 lies in [1,5] then ...

    Text Solution

    |

  7. If x=sin^-1(sin10) and y=cos^(-1)(cos10), then the value of (y-x) is ...

    Text Solution

    |

  8. Matrix=[[e^t,e^-t(sint-2cost),e^-t(-2sint-cost)],[e^t,-e^-t(2sint+cost...

    Text Solution

    |

  9. If |f(x)-f(y)|le2|x-y|^((3)/(2)) AAx,yinR and f(0)=1 then value of int...

    Text Solution

    |

  10. Let I=inta^b (x^4−2x^2)dx for (a,b) which given integration is minimum...

    Text Solution

    |

  11. Let y(x) be the solution of the differential equation (dy)/(dx)+(3y)/(...

    Text Solution

    |

  12. A coin is tossed if head turns up then pair of dice is thrown and sum ...

    Text Solution

    |

  13. sum(i=1)^20 [(.^20C(i-1))/(.^20Ci+.^20C(i-1))]^3=k/21 then find the va...

    Text Solution

    |

  14. If the third term in expansion of (1+x^(log2x))^5 is 2560 then x is eq...

    Text Solution

    |

  15. 5, 5r, 5r^2 are sides of a triangle. Which value of r cannot be possib...

    Text Solution

    |

  16. Sides of triangleABC, AB=7 cm, BC=5cm, CA=6cm. A pole is stand at mid ...

    Text Solution

    |

  17. The equation of tangent to hyperbola 4x^2-5y^2=20 which is parallel to...

    Text Solution

    |

  18. lim(xrarr1^+) ((1-|x|-sin|1-x|)(sin((pi/2)[1-x])))/((1-|x|).([1-x])), ...

    Text Solution

    |

  19. f(x)={(max(|x|,x^2), |x|le2),(8-2|x|, 2lt|x|le4):} is (a) disco...

    Text Solution

    |

  20. If the parabolas y^(2)=4b(x-c) " and" y^(2)=8ax have a common normal o...

    Text Solution

    |