Home
Class 12
MATHS
If x=2npi+tan^(-1).(p)/(q) and y=r is a ...

If `x=2npi+tan^(-1).(p)/(q) and y=r` is a solution of the equation
`12sinx+5cosx=2y^(2)-8y+21`, then the value of k, such that `sqrt(p^(2)+q^(2)+kr^(2))=15`, is equal to

A

5

B

14

C

`(31)/(4)`

D

`-22`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 56

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 58

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If x and y are the solutions of the equatiion 12sinx+5cosx=2y^2-8y+21 the value of 144cot(xy/2) is

If x and y are the solutions of the equation 12sinx+5cos x=2y^(2)-8y+21 , then the value of 12cot((xy)/(2)) is (Given, |x| lt pi )

If p and q are the roots of the equation x^2 - 15x + r = 0 and. p - q = 1 , then what is the value of r?

If the roots of the equation x^2 + px-q = 0 are tan 30^@and tan 15^@ then the value of 2-q-p is

Let (p, q, r) be a point on the plane 2x+2y+z=6 , then the least value of p^2+q^2+r^2 is equal ot

NTA MOCK TESTS-NTA JEE MOCK TEST 57-MATHEMATICS
  1. Let circles C(1), C(2) and C(3) with centres O(1), O(2) and O(3) respe...

    Text Solution

    |

  2. If f:R rarr[-1, 1] be a function defined as f(x)=sin((x^(2)-8)/(x^(2)+...

    Text Solution

    |

  3. The area (in sq. units) of the triangle formed by the lines y=2x, y=-2...

    Text Solution

    |

  4. The value of int(ln(cotx))/(sin2x)dx is equal to (where, C is the cons...

    Text Solution

    |

  5. If x=2npi+tan^(-1).(p)/(q) and y=r is a solution of the equation 12s...

    Text Solution

    |

  6. The order and degree of the differential equation of all the parabolas...

    Text Solution

    |

  7. If veca, vecb and vecc are three non - zero and non - coplanar vectors...

    Text Solution

    |

  8. The number of values of x such that x, [x] and {x} are in arithmetic p...

    Text Solution

    |

  9. Let a=[(1,-1),(2, -1)] and B=[(a,1),(b,-1)] are two matrices. If (A+B)...

    Text Solution

    |

  10. There are n sets of observation given as (1),(2, 3), (4, 5, 6), (7, 8,...

    Text Solution

    |

  11. If Z=cos phi+isin phi(AA phi in ((pi)/(3),pi)), then the value of arg(...

    Text Solution

    |

  12. Given P=(1,0) and Q=(-1,0) and R is a variable point on one side of th...

    Text Solution

    |

  13. If (x(0), y(0), z(0))is any solution of the system of equations 2x-y-z...

    Text Solution

    |

  14. If the function f(x)={{:(asqrt(x+7),":",0lexlt9),(bx+5,":",xge9):} is ...

    Text Solution

    |

  15. Let f(x)={{:(x^(2)+4,":",xlt0),(4-2x,":",xge0):} then the area bounded...

    Text Solution

    |

  16. Let e and l are the eccentricity and length of the lactus rectum respe...

    Text Solution

    |

  17. Mr. Vipin, a famous liar, is known to speak the truth 5 out of 6 times...

    Text Solution

    |

  18. A trapezium is such that three of its sides have lengths as 9cm, then ...

    Text Solution

    |

  19. If the value of lim(xrarr(pi)/(6))(cos(x+(pi)/(3)))/((1-sqrt3tanx)) is...

    Text Solution

    |

  20. If .^(n+2)C(8) : ^(n-2)P(4)=57:16, then the value of (n)/(2) is

    Text Solution

    |