Home
Class 12
MATHS
sinx+cosx=y^2-y+a has no value of x for ...

`sinx+cosx=y^2-y+a` has no value of `x` for any value of `y` if a belongs to (a) `(0,""sqrt(3))` (b) `(-""sqrt(3),0)` (c) `(-oo,-""sqrt(3))` (d) `(""sqrt(3),oo)`

A

`(0,sqrt(3))`

B

`(-sqrt(3),0)`

C

`(-oo,-sqrt(3))`

D

`(sqrt(3),oo)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|16 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|8 Videos

  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

The director circle of a hyperbola is x^(2) + y^(2) - 4y =0 . One end of the major axis is (2,0) then a focus is (a) (sqrt(3),2-sqrt(3)) (b) (-sqrt(3),2+sqrt(3)) (c) (sqrt(6),2-sqrt(6)) (d) (-sqrt(6),2+sqrt(6))

Let y=1/(2+1/(3+1/(2+1/(3+)))) , then the value of y is (a) (sqrt(13)+3)/2 (b) (sqrt(13)-3)/2 (c) (sqrt(15)+3)/2 (d) (sqrt(15)-3)/2

If (sinx)/(siny)=1/2,(cosx)/(cosy)=3/2 , where x , y , in (0,pi/2), then the value of "tan"(x+y) is equal to (a) sqrt(13) (b) sqrt(14) (c) sqrt(17) (d) sqrt(15)

The set of value of a for which both the roots of the equation x^2-(2a-1)x+a=0 are positie is (A) {(2-sqrt(3))/2} (B) {(2-sqrt(3))/2,(2+sqrt(3))/2} (C) [(2+sqrt(3)/2,oo) (D) none of these

The value of log_((9)/(4))((1)/(2sqrt(3))sqrt(6-(1)/(2sqrt(3))sqrt(6-(1)/(2sqrt(3))sqrt(6-(1)/(2sqrt(3)))))...oo) is

If cosx=(2cosy-1)/(2-cosy), where x , y in (0,pi) then tan(x/2)xxcot(y/2) is equal to (a) sqrt(2) (b) sqrt(3) (c) 1/(sqrt(2)) (d) 1/(sqrt(3))

The equation of the lines passing through the point (1,0) and at a distance (sqrt(3))/2 from the origin is (a) sqrt(3)x+y-sqrt(3) =0 (b) x+sqrt(3)y-sqrt(3)=0 (c) sqrt(3)x-y-sqrt(3)=0 (d) x-sqrt(3)y-sqrt(3)=0

The shortest distance between line y-x=1 and curve x=y^2 is (a) (3sqrt2)/8 (b) 8/(3sqrt2) (c) 4/sqrt3 (d) sqrt3/4

A beam of light is sent along the line x-y=1 , which after refracting from the x-axis enters the opposite side by turning through 30^0 towards the normal at the point of incidence on the x-axis. Then the equation of the refracted ray is (a) (2-sqrt(3))x-y=2+sqrt(3) (b) (2+sqrt(3))x-y=2+sqrt(3) (c) (2-sqrt(3))x+y=(2+sqrt(3)) (d) y=(2-sqrt(3))(x-1)

The value of ("lim")_(xvec2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1/(8sqrt(3)) (b) 1/(4sqrt(3)) (c) 0 (d) none of these

ARIHANT MATHS ENGLISH-MONOTONICITY MAXIMA AND MINIMA-Exercise (Single Option Correct Type Questions)
  1. If f is twice differentiable such that f''(x)=-f(x), f'(x)=g(x), h'(x...

    Text Solution

    |

  2. If f(x) ={:{(2x^2+2/x^2",",0ltabsxle2),(3",",x gt2):}then

    Text Solution

    |

  3. sinx+cosx=y^2-y+a has no value of x for any value of y if a belongs to...

    Text Solution

    |

  4. f: R->R is defined by f(x)=(e^(x^2)-e^(-x^2))/(e^(x^2)+e^(-x^2)) is :

    Text Solution

    |

  5. Suppose that f(x) is a quadratic expresson positive for all real xdot ...

    Text Solution

    |

  6. Let f(x)=min{1,cos x,1-sinx}, -pi le x le pi, Then, f(x) is

    Text Solution

    |

  7. f(x)={2-|x^2+5x+6|,x!=2a^2+1,x=-2T h e nt h er a ngeofa , so that f(x...

    Text Solution

    |

  8. Maximum number of real solution for the equation ax^(n)+x^(2)+bx+c=0...

    Text Solution

    |

  9. Maximum number area of rectangle whose two sides are x=x(0),x=pi-x(0...

    Text Solution

    |

  10. f(x)=-1+kx+k neither touches nor intecepts the curve f(x)= Iog x, then...

    Text Solution

    |

  11. f(x) is polynomial of degree 4 with real coefficients such that f(x)=0...

    Text Solution

    |

  12. A curve whose concavity is directly proportional to the logarithm of i...

    Text Solution

    |

  13. f(x) = 4 tan x-tan^(2)x+tan^(3)x,xnenpi+(pi)/(2)

    Text Solution

    |

  14. f (x)= {{:(3+|x-k|"," , x le k),(a ^(2) -2 + ( sin (x -k))/((x-k))"," ...

    Text Solution

    |

  15. Let f(x) be linear functions with the properties that f(1) le f(2), f(...

    Text Solution

    |

  16. If P(x) is polynomial satisfying P(x^(2))=x^(2)P(x)andP(0)=-2, P'(3//2...

    Text Solution

    |

  17. Find the vertex and length of latus rectum of the parabola x^(2)=-4(y-...

    Text Solution

    |

  18. Let f(x)=x^(2)-2xandg(x)=f(f(x)-1)+f(5-f(x)), then

    Text Solution

    |

  19. Let f:NrarrN in such that f(n+1)gtf(f(n)) for all n in N then

    Text Solution

    |

  20. The equation |2ax-3|+|ax+1|+|5-ax|=(1)/(2) possesses

    Text Solution

    |