Home
Class 12
MATHS
If sin C and cos C are the two roots of ...

If `sin C and cos C` are the two roots of the quadatic equation `2x^(2) -px +1 =,` where `0 lt C lt (pi)/(2),` then how many possible values can p have ?

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 5|89 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 7|90 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 33|1 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

If p and q are the two roots of the equation x^2 + px + q = 0 , then find the value of p____

If c lt a lt b lt d , then roots of the equation bx^(2)+(1-b(c+d)x+bcd-a=0

If sin theta,costheta are the roots of the equation ax^2+bx+c =0 then find the value of (a+c)^2/(b^2+c^2)

The solution of this equations 16^(cos^(2)x) + 16^(sin^(2)x) =10 (0 lt x lt pi/2) is-

cos2x - 5 cosx +3 =0 (0 lt x lt 2pi)

If in the triangle ABC, C=pi/2 and tan 'A/2', tan 'B/2 are two roots of the equation px^(2) + qx +r=0 (p ne 0) then show that p+q=r.

Let alpha and beta be the roots of the quadratic equation x^(2) sin theta - x (sin theta cos theta + 1) + cos theta = 0 (0 lt theta lt 45^(@)) , and alpha lt beta . Then Sigma_(n=0)^(oo) (alpha^(n) + ((-1)^(n))/(beta^(n))) is equal to

if a lt c lt b, then check the nature of roots of the equation (a -b)^(2) x^(2) + 2(a+ b - 2c)x + 1 = 0

In 0 lt x lt 2pi , the no of solution (s) of the equation sin^3 x + cos^3 x = 0 is

Given that a,c are the roots of the equation px^2-3x+2=0 and b,d are the roots of the equation qx^2-4x+2=0 , find the values of p and q such that 1/a,1/b,1/c and 1/d are in A.P.

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 3
  1. The value of cot (82(1)/(2))^(@) is-

    Text Solution

    |

  2. If tan theta + sec theta=4, then the value of sin theta (0 lt theta l...

    Text Solution

    |

  3. If sin C and cos C are the two roots of the quadatic equation 2x^(2) -...

    Text Solution

    |

  4. If 11theta=90^(@), then the value of the expression tan theta tan 2 t...

    Text Solution

    |

  5. The base angles of a triangle are (22 (1)/(2))^(@)and (112 (1)/(2))^(@...

    Text Solution

    |

  6. If alpha + beta =(pi)/(2)and beta + gamma =alpha, then the value of ta...

    Text Solution

    |

  7. If cos (alpha -beta) =(sqrt3)/(2) and cos (alpha + beta)=1/e, then the...

    Text Solution

    |

  8. A polygon has 35 diagonals, then the number os its sided is-

    Text Solution

    |

  9. Two sequence {t(n)} and {s(n)} are difined by t(n) =log ((5^(n+1))/(3 ...

    Text Solution

    |

  10. If the sum of the squares of the deviations of 25 observation taken fr...

    Text Solution

    |

  11. If A and B are the coefficients of x ^(p) and x ^(q) respectively in t...

    Text Solution

    |

  12. Elevent books consisting of 5 mathematics, 4 physics and 2 chemistry a...

    Text Solution

    |

  13. In the polynomial (x-1) (x-2) (x-3) …(x-100), the coefficient of x ^(9...

    Text Solution

    |

  14. Six line segments of lengths 2,3,4,5,6,7 units are given. The number o...

    Text Solution

    |

  15. For all positive values of x and y the value of ((1+x+x^(2))(1+y+y^(2)...

    Text Solution

    |

  16. The point represented by the complex number (2-i) is rotated about ori...

    Text Solution

    |

  17. The number of integral solutions of (x+1)/(x^(2)+4) ge 1/4 is-

    Text Solution

    |

  18. The solution set of the inequation of (x-2)/(x+5)gt2 is-

    Text Solution

    |

  19. If x,y,z are in A. P. then (1)/(yz) , (1)/(zx), (1)/(xy) are in-

    Text Solution

    |

  20. The condition theta x^(3) -2px+2q may be divisible by a factor of the ...

    Text Solution

    |