Home
Class 12
MATHS
Find the slope of the normal to the cu...

Find the slope of the normal to the curve `x=a\ cos^3theta` , `y=a\ sin^3theta` at `theta=pi/4` .

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Find the slope of the normal to the curve x = a cos^(3) theta, y = a sin^(3) theta at theta = (pi)/(4) . A) 0 B) -1 C) 1 D) none of these

Find the slopes of the tangent and the normal to the curve x=a\ cos^3theta,\ \ y=a\ sin^3theta at theta=pi//4

Find the slope of the normal to the curve x=1-asintheta , y=b\ cos^2theta at theta=pi/2 .

The equation of the normal to the curve x=a\ cos^3theta,\ \ y=a\ sin^3theta at the point theta=pi//4 is (a) x=0 (b) y=0 (c) x=y (d) x+y=a

Find dy/dx x=a\ cos^3theta , y=a\ sin^3theta

Find the equation of normal to the curve x=cos theta, y = sin theta" at point "theta = pi/4*

Find the equation of normal to the curve x = a cos^(3)theta, y=b sin^(3) theta" at point "'theta'.

Find the length of normal to the curve x=a(theta+sintheta),y=a(1-costheta) at theta=pi/2dot

Find the length of normal to the curve x=a(theta+sintheta),y=a(1-costheta) at theta=pi/2dot

Find the slopes of the tangent and the normal to the curve x=a(theta-sintheta) , y=a(1+costheta) at theta=-pi//2

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let inte^x{f(x)-f^(prime)(x)}dx=varphi(x)dot Then inte^xf(x)dx is

    Text Solution

    |

  2. Solve the following equation: (|x-2|)/(x-3)=1/(x-3)

    Text Solution

    |

  3. Find the slope of the normal to the curve x=a\ cos^3theta , y=a\ sin...

    Text Solution

    |

  4. "I f"I1=int0^1prod(r=1)^(2016)(r-x)dxa n dI2=int0^1prod(r=0)^(2015)(r+...

    Text Solution

    |

  5. Solve the following differential equations. 3(dy)/(dx)+(2y)/(x+1)=(x^...

    Text Solution

    |

  6. Tangent at a point P(1) [other than (0,0)] on the curve y=x^(3) meets ...

    Text Solution

    |

  7. int((e^x(2-x^2))/((1-x)sqrt(1-x^2))\ dx) is equal to

    Text Solution

    |

  8. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

    Text Solution

    |

  9. Let f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx an...

    Text Solution

    |

  10. If in a geometric progression consisting of positive terms, each term ...

    Text Solution

    |

  11. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

    Text Solution

    |

  12. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

    Text Solution

    |

  13. The function f(x)=(4sin^2x-1)^n(x^2-x+1),n in N , has a local minimum...

    Text Solution

    |

  14. The value of ("lim")(nvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))...

    Text Solution

    |

  15. The number of roots of the equation 2sqrt(2x+1)=2x-1 is equal to

    Text Solution

    |

  16. The functionf(x)=|ax-b|+ax-b|+c|x| forallx in(-00,00) where agt0, bt0,...

    Text Solution

    |

  17. Let f(0) and int(0)^(2) f'(2t)e^(f(2t))dt=5 . Then the value of f(4) i...

    Text Solution

    |

  18. The value of c in Rolle's theorem for the function f(x)=(x(x+1))/(e^(x...

    Text Solution

    |

  19. Maximum value of |z+1+i|, where z in S is (a)sqrt(2) (b) 2 (c)...

    Text Solution

    |

  20. If f(x)=x^3-x^2+100x+2002 ,t h e n f(1000)>f(1001) f(1/(2000))>f(1...

    Text Solution

    |