Home
Class 11
MATHS
If x^2+y^2=1 and P=(3x-4x^3)^2+(3y-4y^3)...

If `x^2+y^2=1` and `P=(3x-4x^3)^2+(3y-4y^3)^2` then P is equal to

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

If y= x-x^2+x^3-x^4+..... then x is equal to is

If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal, then the value of lambda is 9 (b) 3 (c) 7 (d) 6

If" " x^(2) + y^(2) = 1, "show that, "(3x - 4x^(3))^(2) + (3y - 4y^(3))^(2) = 1.

If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x y^3+4.

Show that (x^2+y^2)^4=(x^4-6x^2y^2+y^4)^2+(4x^3y-4x y^3)^2dot

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is (a) x^2+y^2+4x+4y-8=0 (b) x^2+y^2-3x+4y+8=0 (c) x^2+y^2+x+y=0 (d) x^2+y^2-3x-3y-8=0

Find (3x+2y) xx (4x+3y).

If (x_1-x_2)^2+(y_1-y_2)^2=a^2 , (x_2-x_3)^2+(y_2-y_3)^2=b^2 , (x_3-x_1)^2+(y_3-y_1)^2=c^2 , and 2s=a+b+c then what willl be the value of 1/4|[x_1,y_1, 1],[x_2,y_2, 1],[x_3,y_3, 1]|^2

If P is a point such that the ratio of the squares of rthe lengths of the tangents from P to the circels x ^(2) +y^(@) -4x +2y -44 =0 and x ^(2) +y^(2) +2x -4y -20 =0 is 3:2, then the locus of P is a circle with centre at-

Let P(x)=5/3-6x-9x^2a n dQ(y)=-4y^2+4y+(13)/2dot if there exists unique pair of real numbers (x , y) such that P(x)Q(y)=20 , then the value of (6x+10 y) is _____.

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Column I Column II The value of ((4+sec20^0)/(cosec20^0))^2 , is p....

    Text Solution

    |

  2. The value of cos(pi/7)+cos((2pi)/7)+cos((3pi)/7)+cos((4pi)/7)+cos((5pi...

    Text Solution

    |

  3. If x^2+y^2=1 and P=(3x-4x^3)^2+(3y-4y^3)^2 then P is equal to

    Text Solution

    |

  4. If sin A=3/5,w h e r e0^0ltAlt90^0 , then find the values of sin2A , c...

    Text Solution

    |

  5. Prove that (cosA-cosB)^2+(sin A-sin B)^2=4sin^2((A-B)/2)

    Text Solution

    |

  6. Let f(x)=2 cosec 2x + sec x+cosec x, then the minimum value of f(x) fo...

    Text Solution

    |

  7. If tanalpha=1/7 ,sinbeta=1/sqrt10 prove that alpha+2beta=(pi/4) where ...

    Text Solution

    |

  8. Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tantheta))^2

    Text Solution

    |

  9. Prove that (1-tan^2(pi/4-A))/(1+tan^2(pi/4-A))=sin2Adot

    Text Solution

    |

  10. If alpha+beta=90^0 , find the maximum and minimum values of sinalphas...

    Text Solution

    |

  11. Find the maximum and minimum value of cos^2theta -6 sin theta .cos the...

    Text Solution

    |

  12. If p(x)=sinx(sin^3x+3)+cosx(cos^3x+4)+(1/2)sin^2 2x+5, then find the ...

    Text Solution

    |

  13. The value of cos e cpi/(18)-4sin((7pi)/(18)) is

    Text Solution

    |

  14. If A+B+C=(3pi)/2, then cos2A +cos2B+cos2C is

    Text Solution

    |

  15. Prove that: (costheta)/(1+sintheta)=tan(pi/4-theta/2)

    Text Solution

    |

  16. If A,B,C, are the angles of a triangle such that cot(A/2)=3tan(C/2), ...

    Text Solution

    |

  17. The maximum value of cos^2(45^0+x)+(sinx-cosx)^2 is

    Text Solution

    |

  18. Let alpha,betaa n dgamma be some angles in the first quadrant satisfyi...

    Text Solution

    |

  19. If tanx=ntany ,n in R^+, then the maximum value of sec^2(x-y) is eq...

    Text Solution

    |

  20. Prove that: (1+sintheta-costheta)/(1+sintheta+costheta)=tan(theta/2)

    Text Solution

    |