Home
Class 12
MATHS
If sin((23pi)/(24))=sqrt((2sqrtp-sqrtq-1...

If `sin((23pi)/(24))=sqrt((2sqrtp-sqrtq-1)/(4sqrtr))`, then the value of `(p^(2)+q^(2)-r^(2))` is equal to

A

6

B

12

C

`-1`

D

9

Text Solution

Verified by Experts

The correct Answer is:
D
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

Prove that sin ((23pi)/24) = sqrt((2 sqrt2 - sqrt3 -1)/(4 sqrt2))

Find the value of sin. (23pi)/(24) .

If x=(sqrt(p+q)+sqrt(p-q))/(sqrt(p+q)-sqrt(p-q)) then find the value of qx^(2)-2px+q

If p = 4, q= 3 and r = -2 find the value of p^(2)+q^(2)-r^(2)

If x=(sqrt(p+q)+sqrt(p-q))/(sqrt(p+q)-sqrt(p-q)) find the value of qx^(2)-2px+q

If x=sqrtp+1/sqrtp and y=sqrtp-1/sqrtp , then find the value x^(4)+y^(4) -2x^2y^2

NTA MOCK TESTS-NTA JEE MOCK TEST 57-MATHEMATICS
  1. Sigma(r=0)^(n)((r^(2))/(r+1)).^(n)C(r) is equal to

    Text Solution

    |

  2. A ray of light through the point A(1,2,3) strikes the plane x+y+z=12 a...

    Text Solution

    |

  3. If sin((23pi)/(24))=sqrt((2sqrtp-sqrtq-1)/(4sqrtr)), then the value of...

    Text Solution

    |

  4. If int(0)^(1)e^(x^(2))(x-a)dx=0, then the value of int(0)^(1)e^(X^(2))...

    Text Solution

    |

  5. The statement prArr(q^^p) is negation of the statement

    Text Solution

    |

  6. Let circles C(1), C(2) and C(3) with centres O(1), O(2) and O(3) respe...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |