Home
Class 12
MATHS
The curve represented by x=2(cost+sint)...

The curve represented by `x=2(cost+sint) and y = 5(cos t-sin t )` is

Text Solution

AI Generated Solution

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

Prove that the curve represented by x=3(cost+sint),y=4(cost-sint),t in R , is an ellipse.

The graph represented by x=sin^2t, y=2cost is

The graph represented by the equations x= sin ^(2) t, y = 2 cos t is

At any two points of the curve represented parametrically by x=a (2 cos t- cos 2t);y = a (2 sin t - sin 2t) the tangents are parallel to the axis of x corresponding to the values of the parameter t differing from each other by :

x = "sin" t, y = "cos" 2t

When two displacement represented by y_(1) = a sin (omega t) and y_(2) = b cos (omega t) are superimposed, the motion is

The curve is given by x = cos 2t, y = sin t represents

Show that the equation of normal at any point t on the curve x=3 cos t - cos^(3) t and y=3 sin t - sin^(3) t is 4(y cos^(3) t-x sin^(3) t) = 3 sin 4t .

The tangent to the curve given by x = e^(t) cos t y = e^(t) " sin t at t " = (pi)/(4) makes with x-axis an angle of

If a curve is given by x= a cos t + b/2 cos2t and y= asint + b/2 sin 2t , then the points for which (d^2 y)/dx^2 = 0 , are given by

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If parabolas y^(2)=lamdaxand25[(x-3)^(2)+(y+2)^(2)]=(3x-4y-2)^(2) are ...

    Text Solution

    |

  2. The number of real tangents that can be drawn to the ellipse...

    Text Solution

    |

  3. The curve represented by x=2(cost+sint) and y = 5(cos t-sin t ) is

    Text Solution

    |

  4. Set of value of m for which a chord of slope m of the circle x^2+y^2=4...

    Text Solution

    |

  5. If int(3x^(2)+2x)/(x^(6)+2x^(5)+x^(4)+2x^(3)+2x^(2)+5)dx = F(x), then ...

    Text Solution

    |

  6. If f(x)=int0^x(sint)/t dt ,x >0, then (a)f(x) has a local maxima at x=...

    Text Solution

    |

  7. If P(A/C) gt P(B/C) and P(A/(bar C)) gt P(B/(bar C)), then the relatio...

    Text Solution

    |

  8. The value of int((x^(2)+1))/((x^(4)-x^(2)+1)cot^(-1)(x-(1)/(x)))dx wil...

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. The value of the integral int0^2("log"(x^2+2))/((x+2)^2)dx is (sqrt(2)...

    Text Solution

    |

  11. Let f(x)=a x^2+b x+cw h e ra in R^+a n db^2-4a c<0. Area bounded by y...

    Text Solution

    |

  12. If int (1)/((sinx + 4)(Sin x - 1))dx = A (1)/(tan (x)/(2) - 1) + B t...

    Text Solution

    |

  13. If the greatest value of sin^2alpha is a/(256), then the value of [...

    Text Solution

    |

  14. Let f(x) be a function such that 2f(x)+f((x+1)/(x-1))=x. AAx in R...

    Text Solution

    |

  15. If 4- horses participate in race. The number of ways in which they can...

    Text Solution

    |

  16. The exact value of cos((2pi)/28)cosec((3pi)/28)+cos((6pi)/28)cosec((9p...

    Text Solution

    |

  17. Range of g(theta)=f^(-1)(sintheta) is- [-1,1] (b) [-2,2] [-3,3] (d)...

    Text Solution

    |

  18. Let f be a function satisfying the functional rule 2f(x)+f(1-x)=xAA...

    Text Solution

    |

  19. Consider set A = { 1,2,3}. Number of symmetric relations that can be ...

    Text Solution

    |

  20. If |cos x + sin x| + | cos x - sin x| = 2 sin x; x in [0,pi], then max...

    Text Solution

    |