Home
Class 11
MATHS
If (sinalpha)x^2-2x+bgeq2, for all real ...

If `(sinalpha)x^2-2x+bgeq2,` for all real values of `xlt=1a n dalpha in (0,pi/2)uu(pi//2,pi),` then possible real value of `b` is /are `a2` b. `3` c. `4` d. `5`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If the equation x^(2)+4+3sin(ax+b)-2x=0 has at least one real solution, where a,b in [0,2pi] then one possible value of (a+b) can be equal to

If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, where x y<0 then the possible values of z is (are) 3 (b) 2 (c) 4 (d) 8

If a. 3^(tanx) + a. 3^(-tanx) - 2 = 0 has real solutions, x != pi/2 , 0 le x le pi, then find the set of all possible values of parameter 'a'.

Let (1+x^2)^2(1+x)^n=sum_(k=0)^(n+4)a_k x^k . If a_1 , a_2 and a_3 are in arithmetic progression, then the possible value/values of n is/are a. 5 b. 4 c. 3 d. 2

int_(-pi//2)^(pi//2) cos x dx is equal to A) 0 B) 1 C) 2 D) 4

If y=sin^(-1)(sinx) , -pi/2lt=xlt=pi/2 . Then, write the value of (dy)/(dx) for x in (-pi/2,pi/2) .

If (x^2+a x+3)/(x^2+x+a) takes all real values for possible real values of x , then a. a^3-9a+12 =0 c. ageq1/4 d. a<1/4

The value of int_(-pi//2)^(pi//2)(x^3+x\ cos x+tan^5x+1)dx , is a. 2 b. pi c. 0 d. 1

If 2|sin2alpha|=|tanbeta+cotbeta|,alpha,beta in (pi/2,pi), then the value of alpha+beta is (a) (3pi)/4 (b) pi (c) (3pi)/2 (d) (5pi)/4

The value of int_0^(pi/2) (dx)/(1+tan^3 x) is (a) 0 (b) 1 (c) pi/2 (d) pi

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Given that a , b , c , are the side of a A B C which is right angle...

    Text Solution

    |

  2. In equilateral triangle ABC with interior point D, if the perpendicula...

    Text Solution

    |

  3. If (sinalpha)x^2-2x+bgeq2, for all real values of xlt=1a n dalpha in (...

    Text Solution

    |

  4. Let f(theta)=sintheta(sintheta+sin3theta)dot Then f(theta) is (a)g...

    Text Solution

    |

  5. In A B C ,(cot A/2+cotB/2)(asin^2B/2+bsin^2A/2)= cotC (b) ccotC (c...

    Text Solution

    |

  6. The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)...

    Text Solution

    |

  7. Without using tables, prove that (sin12^0)(sin48^0)(sin54^0)=1/8

    Text Solution

    |

  8. If cos3theta=cos3alpha, then the value of sintheta can be given by +-s...

    Text Solution

    |

  9. If the sides a , b and c of A B C are in AdotPdot, prove that 2sinA/2...

    Text Solution

    |

  10. alphaa n dbeta are the positive acute angles and satisfying equation ...

    Text Solution

    |

  11. If a=9,b=4a n dc=8 then find the distance between the middle point of ...

    Text Solution

    |

  12. Which of the following sets can be the subset of the general solution ...

    Text Solution

    |

  13. Given both thetaa n dphi are acute angles and sintheta=1/2,cosvarphi=...

    Text Solution

    |

  14. If the cotangents of half the angles of a triangle are in A.P., then ...

    Text Solution

    |

  15. e^(|sinx|)+e^(-|sinx|)+4a=0 will have exactly four different solutions...

    Text Solution

    |

  16. If the sides of a triangle are 17 , 25a n d28 , then find the greatest...

    Text Solution

    |

  17. If both the distinct roots of the equation |sinx|^2+|sinx|+b=0in[0,pi]...

    Text Solution

    |

  18. Each question has four choices a,b,c and d out of which only one is...

    Text Solution

    |

  19. Prove: Sin(B+C−A) + Sin(C+A−B) + Sin(A+B−C) = 4SinASinBSinC.

    Text Solution

    |

  20. The number of values of yin[-2pi,2pi] satisfying the equation |sin2x|+...

    Text Solution

    |