Home
Class 12
MATHS
If the angle made by tangent at point (x...

If the angle made by tangent at point `(x_0,y_0)` on the curve `x=12(t+sint.cost) , y=12(1+sin t)^2 , 0 lt t lt pi/2` with the x-axis is `pi/3` then `y_0` is equal to

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

The angle made by any tangent to the curve x=a(t+sin t cos t),y=(1+sin t)^(2) with x- axis is:

Find the equation of the tangent and the normal at the point 't' on the curve x=a(t+sint), y=a(1-cost)

Write the angle made by the tangent to the curve x=e^tcott , y=e^tsint at t=pi/4 with the x-axis.

The equation of the normal at the point t = (pi)/4 to the curve x=2sin(t), y=2cos(t) is :

Find the equations of the tangent and normal to the curve x=sin3t.,y=cos2t at t=(pi)/(4)

Find the equation of the tangent at t=(pi)/(4) to the curve : x=sin 3t, y = cos 2t.

If cos x (dy)/(dx)-y sin x = 6x, (0 lt x lt (pi)/(2)) and y((pi)/(3))=0 , then y((pi)/(6)) is equal to :-

The angle between the curves y=sin x and y = cos x, 0 lt x lt (x)/(2) , is

If x = sint cos2t and y = cost sin2t , then at t = pi/4 , the value of dy/dx is equal to:

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. y=y(x) is the solution of the differential equation 2x^2dy/dx-2xy+8y^2...

    Text Solution

    |

  2. A={x in R : abs(x+1) lt 2} , B={x in R: abs(x-1) ge 2} then

    Text Solution

    |

  3. If the angle made by tangent at point (x0,y0) on the curve x=12(t+sint...

    Text Solution

    |

  4. The area of region enclosed between the parabolas y^2=2x-1 & y^2=4x-3 ...

    Text Solution

    |

  5. The negation of ((p wedge~q ) implies ((~p) vv q)

    Text Solution

    |

  6. y=x+1 intersect the ellipse x^2/4+y^2/2=1 at the point P and Q. PQ is ...

    Text Solution

    |

  7. Let barz1 and barz2 two complex number show that barz1=ibarz2 and arg(...

    Text Solution

    |

  8. Let a,b in R be such that the equation ax^2-2bx+15=0 has repeated root...

    Text Solution

    |

  9. 12int3^b 1/((x^2-1)(x^2-4))=loge(49/40) then find value of b where b g...

    Text Solution

    |

  10. Water is increasing in a rigid circular cone with rate 1 cm^3//sec, th...

    Text Solution

    |

  11. The number of 3-digit numbers which has exactly 2 identical digit is

    Text Solution

    |

  12. If bn=int0^(pi/2) (cos^2nx)/sinx dx then

    Text Solution

    |

  13. The system of equations -kx+3y-14z=25 -15x+4y-kz=3 -4x+y+3z=4 is cons...

    Text Solution

    |

  14. lim(x to pi/2) tan^2x((2sin^2x+4sinx+3)^(1/2)-(sin^2x+6sinx+2)^(1/2))

    Text Solution

    |

  15. If mean deviation about mean is (5(n+1))/n of data 1,2,3,4....n wher...

    Text Solution

    |

  16. A circle touches the y-axis and the line x+y=0. then the locus of its...

    Text Solution

    |

  17. Equation of tangent at P on parabola y=x-x^2 is y=4+kx, k gt 0 and V i...

    Text Solution

    |

  18. Hyperbola x^2/a^2-y^2/b^2=2 has eccentricity 5/4. If normal to the hyp...

    Text Solution

    |

  19. If m and n are respectively the local maximuma and local minima of f(x...

    Text Solution

    |

  20. If a biased coin is tossed 5 times and if the probability getting 4 he...

    Text Solution

    |