Home
Class 12
MATHS
The number of real number lambda for wh...

The number of real number `lambda` for which the equality
`(sin(lamdaalpha))/(sinalpha)-(cos(lamdaalpha))/(cosalpha)=lamda-1`,
holds for all real `alpha` which are not integral multiples of `pi//2` is-

A

1

B

2

C

3

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SOLVED PAPER 2017

    BITSAT GUIDE|Exercise PART (IV) Mathematics)|45 Videos
  • SOLVED PAPER 2018

    BITSAT GUIDE|Exercise Mathematics (Part-IV)|45 Videos

Similar Questions

Explore conceptually related problems

The range of real number alpha for which the equation z+alpha|z-1|+2i=0 has a solution is :

For any real number A ,which is not an odd multiple of (pi)/(2) , sin2A=

Find the range of real number alpha for which the equation z+alpha|z-1|+2i=0 has a solution.

The real value of alpha for which the expression (1-i sin alpha)/(1+2i sin alpha) is purely real is

The number of values of the parameter alpha in [0, 2pi] for which the quadratic function (sin alpha)x^(2)+(2cosalpha)x+(1)/(2)(cos alpha+sinalpha) is the square of a linear funcion is

Find the number of integral values of lambda, for which equation 4cos x+3sin x=2 lambda+1 has a solution.

Let lambda and alpha be real. Then the numbers of intergral values lambda for which the system of linear equations lambdax +(sin alpha) y+ (cos alpha) z=0 x + (cos alpha) y+ (sin alpha) z=0 -x+(sin alpha) y -(cos alpha) z=0 has non-trivial solutions is

Let lambda "and" alpha be real. Let S denote the set of all values of lambda for which the system of linear equations lambda x+(sinalpha)y+(cos alpha)z=0 x+(cos alpha) y+(sin alpha) z=0 -x+ (sin alpha) y-(cos alpha) z=0 has a non- trivial solution then S contains

the number of real values of x for which the equality holds good |3x^(2)+12x+6|=5x+16 holds good is

Let lamda and alpha real. Find the set of all values of lamda for which the system. x+(sinalpha)y+(cosalpha)z=0, x+(cosalpha)y+(sinalpha)z=0, -x+(sinalpha)y+(cosalpha)z=0 has a non trivial solution. For lamda=1 find all values of alpa.

BITSAT GUIDE-SOLVED PAPER 2019 BITSAT-PART -IV ( Mathematics )
  1. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

    Text Solution

    |

  2. Three numbers are chosen at random without replacement from {1, 2, 3, ...

    Text Solution

    |

  3. The number of real number lambda for which the equality (sin(lamdaa...

    Text Solution

    |

  4. Suppose a parabola y=ax^(2)+bx +c has two x intercepts, one negative...

    Text Solution

    |

  5. The larger of two angles made with the X-axis of a straight line drawn...

    Text Solution

    |

  6. The point ([P + 1], [P]) (where, [x] is the greatest integer function)...

    Text Solution

    |

  7. Solution of the equation (dy)/(dx) = e^(x-y) (e^(x)-e^(y)) is equal t...

    Text Solution

    |

  8. The area bounded by two branches of the curve (y-x)^2= x^3 and x = 1 e...

    Text Solution

    |

  9. The least value of the function f(x) = int(0)^(x) ( 3 sinx + 4 cos x )...

    Text Solution

    |

  10. If z(1) and overline(z)(1) represent adjacent vertices of a regular po...

    Text Solution

    |

  11. In the expansion of (1+x+x^3+x^4), the coefficient of x^4 is ^40 C4 b....

    Text Solution

    |

  12. A person writes letters to six friends and addresses the corresponding...

    Text Solution

    |

  13. If x=log(5)3+log(7)5+log(9)7,then x is ge?

    Text Solution

    |

  14. Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be...

    Text Solution

    |

  15. Let a,b,c in R and the system of equations (1-a)x+y+z=0,x+(1-b)y+z=0,x...

    Text Solution

    |

  16. If A is a 3xx3 non-singular matrix such that "AA"'=A'A and B=A^(-1)A',...

    Text Solution

    |

  17. If sin^(-1)x + tan ^(-1) x = (pi)/(2), then prove that 2x^(2) + 1 =...

    Text Solution

    |

  18. Find the number of solution of the equations |cos x |=[x], (where ...

    Text Solution

    |

  19. Let cos(alpha+beta)=(4)/(5) and let sin(alpha-beta)=(5)/(13), where 0 ...

    Text Solution

    |

  20. Cards are drawn one-by-one at random from a well-shuffled pack of 52 ...

    Text Solution

    |