Home
Class 12
MATHS
Given P=(1,0) and Q=(-1,0) and R is a va...

Given `P=(1,0)` and `Q=(-1,0)` and R is a variable point on one side of the line `PQ` such that `/_RPQ - /_RQP = pi /4`. The locus of the point `R` is

A

`y^(2)-x^(2)+2xy-1=0`

B

`x^(2)-y^(2)+2xy+1=0`

C

`y^(2)+x^(2)-2xy=1`

D

`y^(2)-x^(2)-2xy+1=0`

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

Two points P and Q are given.R is a variable point on one side of the line PQ such that /_RPQ-/_RQP is a positive constant 2 alpha. Find the locus of the point R.

Two points P(a,0) and Q(-a,0) are given,R is a variable on one side of the line PQ such that /_RPQ-/_RQP is a positive constant 2 alpha. FInd the locus of point R .

P(-3, 7) and Q(1, 9) are two points. Find the point R on PQ such that PR:QR = 1:1 .

A(2,3.0) and B(2,1,2) are two points.If the points P,Q are on the line AB such that AP=PQ=QB then PQ is Loo

Let A=(-2,0) and B=(1,0) and P is a variable point such that /_APB=60^(@). Prove analytically that the locus of P is a circle.Find its radius and centre.

Let there are three points A (0, 4/3), B(–1, 0) and C(1, 0) in x – y plane. The distance from a variable point P to the line BC is the geometic mean of the distances from this point to lines AB and AC then locus of P can be

The ends of a line segment are P(1,3) and Q(1,1), R a point on the line segment PQ such that PR:QR=1:lambda. If R is an interior point of the parabola y^(2)=4x then

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

    |