Home
Class 12
MATHS
If (alpha, beta) is a point of intersect...

If `(alpha, beta)` is a point of intersection of the lines `xcostheta +y sin theta= 3` and `x sin theta-y cos theta= 4` where `theta` is parameter, then maximum value of `2^((alpha+beta)/(sqrt(2))` 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

The locus of the points of intersection of the lines x cos theta+y sin theta=a and x sin theta-y cos theta=b , ( theta= variable) is :

If the coordinates of a variable point be (cos theta + sin theta, sin theta - cos theta) , where theta is the parameter, then the locus of P is

Locus of the point (cos theta +sin theta, cos theta - sin theta) where theta is parameter is

Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta .

Show that : x=a cos theta - b sin theta and y = a sin theta + b cos theta , represent a circle where theta is the parameter.

Find (dy)/(dx) if x= 3 cos theta - cos 2theta and y= sin theta - sin 2theta.

Show that equations x=a cos theta + b sin theta, y = a sin theta - b cos theta represents a circle, wheter theta is a parameter.

If A=2 sin^2 theta - cos 2 theta and A in [alpha, beta] , then find the values of alpha and beta.

If E(theta)=[[cos theta, sin theta] , [-sin theta, cos theta]] then E(alpha) E(beta)=

If alpha and beta are roots of the equation a cos theta + b sin theta = c , then find the value of tan (alpha + beta).

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Number of points where the function f(x)=1/(|x|-1)+tanx, x in (-3,3) i...

    Text Solution

    |

  2. Let vec a= hat j- hat k and vec c= hat i- hat j- hat k . Then vector...

    Text Solution

    |

  3. If (alpha, beta) is a point of intersection of the lines xcostheta +y ...

    Text Solution

    |

  4. If two events Aa n dB are such that P(A^o)=0. 3 ,P(B)=0. 4 ,a n dP(...

    Text Solution

    |

  5. Letf: R rarr R be a one-one onto differentiable function, such that f(...

    Text Solution

    |

  6. The direction cosines of a line passing through the points P(-2,4,-5...

    Text Solution

    |

  7. lim(n->oo)cos(pisqrt(n^2+n))=?(n in I) a. 1 b. -1 c. 0 d. Does not...

    Text Solution

    |

  8. If x gt 0, (x^(n))/(1+x+x^(2)+...+x^(2n)) is

    Text Solution

    |

  9. If matrix A is given by A=|[6, 11], [2, 4]| , then the determinant o...

    Text Solution

    |

  10. If the line y=mx+c touches the parabola y^(2)=4a(x+a), then

    Text Solution

    |

  11. (p^^~q) is logically equal to 1. p -> q 2. ~ p->q 3. p -> ~ q 4....

    Text Solution

    |

  12. A relation on set ={1,2,3,4,5} is defined as R="{"|"a-b"|" is prime nu...

    Text Solution

    |

  13. Let U={xcN,xle10},A={x inN,1lex^(3)lt150}and B={x inN, x is prime numb...

    Text Solution

    |

  14. Sum of squares of deviation of 10 observations measured from 5 is 17 a...

    Text Solution

    |

  15. If alpha,beta in R and the quadratic equations x^2+2x+7=0a n d4x^2+al...

    Text Solution

    |

  16. Let A and B be two square matrices satisfying A+BA^(T)=I and B+AB^(T)=...

    Text Solution

    |

  17. The function f:(-oo, 1] rarr (0, e^(5)] defined as f(x)=e^(x^(3)+2) is...

    Text Solution

    |

  18. If the point P(4,-2) is one ends of the focal PQ of y^(2)=x, then the ...

    Text Solution

    |

  19. Let f(x)=(sin {pi[x-pi]})/(1+[x^(2)]), where [.] stands for the greate...

    Text Solution

    |

  20. if A[{:(5,-3),(111,336):}] and det(-3A^(2013)+A^(2014))=alpha^(alpha)+...

    Text Solution

    |