Home
Class 14
MATHS
If cos pi x = x ^(2) -x + (5)/(4), then...

If `cos pi x = x ^(2) -x + (5)/(4),` then the value of x will be : (a) 0 (b) 1 (c) −1 (d) None of these

A

0

B

1

C

`-1`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -III|90 Videos
  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -IV|22 Videos
  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos
  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

Similar Questions

Explore conceptually related problems

If (x-1)/(x)=3, then the value of 1+(1)/(x^(2)) is (a) 9(b) 10(c)11 (d) None of these

If a (A) x=0 (B) x=1 (C) x=2 (D) None of these.

If the area of the region bounded by y=sinax, y=0, x=pi/a and x=pi/(3a) is 4, then the positive value of a is (A) 1/2 (B) 2 (C) 5/8 (D) none of these

If f(x)={(1-cos10 x)/(x^2)\ \ \ ,\ \ \ x 0 , then the value of a so that f(x) may be continuous at x=0 , is (a) 25 (b) 50 (c) -25 (d) none of these

If x cos y+y cos x=pi then the value of y'(0) is equal to pi(b)-pi(c)1(d)0

If f(x)=sin^(-1)cos x, then the value of f(10)+f'(10) is (a)11-(7 pi)/(2) (b) (7 pi)/(2)-11 (c) (5 pi)/(2)-11( d) none of these

If f(x)=(1-cos2x)/(x^(2)) , x!=0 and f(x) is continuous at x=0 ,then f(0)= (a) 1 (b) 2 (c) 3 (d) None of these

int_0^2 x^3[1+cos((pix)/2)]dx , where [x] denotes the integral part of x , is equal to (A) 1/2 (B) 1/4 (C) 0 (D) none of these

Let cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x If x in [-1, -(1)/(2)) , then the value of a + b pi is

Let alpha and beta be any two positive values of x for which 2cos x, l cos x|, and 1-3cos^(2)x are in G.P.The minimum value of | alpha-beta| is (pi)/(3) (b) (pi)/(4)(c)(pi)/(2) (d) none of these

KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. The greatest value of sin^(4)theta+cos^(4)theta is

    Text Solution

    |

  2. tantheta+cot theta=2:

    Text Solution

    |

  3. If cos pi x = x ^(2) -x + (5)/(4), then the value of x will be : (a...

    Text Solution

    |

  4. The numerical value of 1+(1)/(cot^(2)63^(@))-sec^(2)27^(@)+(1)/(sin^...

    Text Solution

    |

  5. If x=(cos theta)/(1-sintheta), then (cos theta)/(1+sin theta) is equal...

    Text Solution

    |

  6. In DeltaABC,angleB=90^(@)andAB:BC=2:1 .Then value of sin A+cot C is

    Text Solution

    |

  7. The value of (sin43^(@))/(cos47^(@))+(cos19^(@))/(sin71^(@))-8cos^(2...

    Text Solution

    |

  8. The value of (sin^(2)7(1^(2))/(2)+sin^(2)82(1^(@))/(2)+tan^(2)2^(@)....

    Text Solution

    |

  9. Find the value of 1-2sin^(2)theta+sin^(4)theta.

    Text Solution

    |

  10. The least value of tan^(2)x+cot^(2)x is :

    Text Solution

    |

  11. The value of theta , which satisfies the equation tan^(2)theta+3=3...

    Text Solution

    |

  12. If sin theta=0.7, "then" cos theta, 0 le theta lt 90^(@) is यदि sin ...

    Text Solution

    |

  13. If xsin60^(@). tan30^(@)=sec60^(@).cot45^(@) , then the value of ...

    Text Solution

    |

  14. If theta=60^(@) , then (1)/(2)sqrt(1-sintheta) is equal to

    Text Solution

    |

  15. If (2tan^(2)30^(@))/(1-tan^(2)30^(@))+sec^(2)45^(@)-sec^(2)0^(@)=xsec...

    Text Solution

    |

  16. If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha), then sinalpha+cos...

    Text Solution

    |

  17. If tan9^(@)=(p)/(q) , then the value of (sec^(2)81^(@))/(1+cot^(2)...

    Text Solution

    |

  18. If sectheta+tantheta=5 , then the value of (tantheta+1)/(tantheta-1...

    Text Solution

    |

  19. If tan ^2 theta =1-e ^(2), then sec theta + tan ^(3) theta cosec thet...

    Text Solution

    |

  20. Which one of the following is true for 0^(@)ltthetalt90^(@)?

    Text Solution

    |