Home
Class 12
MATHS
Let f (x) =(px+q) cos x + (rx+s) sin x a...

Let f (x) =(px+q) cos x + (rx+s) sin x and `f'(x) =x cos x AA x in R` then

A

p=-1

B

q=1

C

r=1

D

s=-1

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 1 (True And False)|3 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 1 (Fill In The Blanks)|4 Videos

  • THE PARABOLA

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion/ Reason)|1 Videos

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

Let g'(x)>0 and f'(x)<0AA x in R, then

Let f(x)=cos x sin2x then

Let f(x)=cos x sin2x, then

Let |f (x)| le sin ^(2) x, AA x in R, then

Let f(sin x)+2f(cos x)=3 for all x in R Fird f(x)

Let f(x) = sin(pi[x]) + sin([pi^(2)]x) + cos ([-pi^(2)]x/3) AA x in R , then f(pi//4) is equal to

Let f (x) = ax+cos 2x +sin x+ cos x is defined for AA x in R and a in R and is strictely increasing function. If the range of a is [(m)/(n),oo), then find the minimum vlaue of (m- n).

If f(x)=(cos x-sin x)/(cos x+sin x) then f^(-1)(x)=

ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Self Assessment Test
  1. Let f (x) =(px+q) cos x + (rx+s) sin x and f'(x) =x cos x AA x in R th...

    Text Solution

    |

  2. If the equation x^(2)-(2+m)x +(m^(2)-4m+4)=0 has equal roots then the ...

    Text Solution

    |

  3. The number of real solutions of the equation |x|^(2)-3|x|+2=0 is :

    Text Solution

    |

  4. Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0

    Text Solution

    |

  5. The roots of the equation (p-q) x^(2)+(q-r) x+(r-p)=0 are

    Text Solution

    |

  6. If one root of x^(2) + px+12 = 0 is 4, while the equation x ^(2)...

    Text Solution

    |

  7. Let alpha and beta are the roots of the equation x^(2) + x + 1 = 0 The...

    Text Solution

    |

  8. If the quadratic equation x^(2) +ax +b =0 and x^(2) +bx +a =0 (a ne b...

    Text Solution

    |

  9. If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then f...

    Text Solution

    |

  10. The value of k for which the equation x^(2)-(3k-1)x+2k^(2)+2k=11 have ...

    Text Solution

    |

  11. if 2 = I sqrt3 be a root of the equation x^(2) + px + q =0, where p ...

    Text Solution

    |

  12. The number of solutions of the pair of equations 2s in^2theta-cos2thet...

    Text Solution

    |

  13. If alpha, beta are roots of the equations Ax^(2)+Bx+C=0. Then value of...

    Text Solution

    |

  14. If the equation x^(2)+px+q=0 and x^(2)+qx+p=0 have a common root then ...

    Text Solution

    |

  15. If alpha and beta (alpha lt beta) are the roots of the equation x^(2) ...

    Text Solution

    |

  16. If 2a+3b+6c=0, then prove that at least one root of the equation a x^2...

    Text Solution

    |

  17. If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal t...

    Text Solution

    |

  18. If sin alpha, cos alpha are the roots of the equation ax^(2)+bx+c=0, t...

    Text Solution

    |

  19. If alpha, beta are the roots of x^(2)-ax+b =0 and If alpha^(n)+beta^(n...

    Text Solution

    |

  20. The value of a for which one root of the quadratic equation (a^2-5a+3)...

    Text Solution

    |

  21. If a,b, c are in G.P., then the equations ax^(2) + 2bx + c = 0 and dx^...

    Text Solution

    |