Home
Class 12
MATHS
Let P be (5, 3) and a point R on y=x and...

Let `P` be (5, 3) and a point `R` on `y=x` and `Q` on the x-axis be such that `P Q+Q R+R P` is minimum. Then the coordinates of `Q` are

A

`(17/8,0)`

B

`(17/4,0)`

C

`(17/2,0)`

D

`(17,0)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 1 : (Single Option Correct Type Questions)|1 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 2 : (More than One Correct Option Correct Type Questions)|1 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 6|12 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

Let P be a point on the circle x^(2)+y^(2)=9 , Q a point on the line 7x+y+3=0 , and the perpendicular bisector of PQ be the line x-y+1=0 . Then the coordinates of P are

If P=(1,1),Q=(3,2) and R is a point on x-axis then the value of PR+RQ will be minimum at

A point P lies on x-axis and another point Q lies on y-axis. :- Write the ordinate of point P.

The image of P(a,b) on the line y=-x is Q and the image of Q on the line y=x is R . then the midpoint of PR is

If the normals at two points P and Q of a parabola y^2 = 4ax intersect at a third point R on the curve, then the product of ordinates of P and Q is

For points P -= (x_(1) ,y_(1)) and Q = (x_(2),y_(2)) of the coordinate plane , a new distance d (P,Q) is defined by d(P,Q) = |x_(1)-x_(2)|+|y_(1)-y_(2)| Let O -= (0,0) ,A -= (1,2), B -= (2,3) and C-= (4,3) are four fixed points on x-y plane Let R(x,y) such that R is equidistant from the point O and A with respect to new distance and if 0 le x lt 1 and 0 le y lt 2 , then R lie on a line segment whose equation is

P is a variable point on the line L=0 . Tangents are drawn to the circles x^(2)+y^(2)=4 from P to touch it at Q and R. The parallelogram PQSR is completed. If P -=(3,4) , then the coordinates of S are

A point P lies on x-axis and another point Q lies on y-axis. :- Write the abscissa of point Q.

Consider the following relations: R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; S={(m/n , p/q)"m , n , p and q are integers such that n ,q"!="0 and q m = p n"} . Then (1) neither R nor S is an equivalence relation (2) S is an equivalence relation but R is not an equivalence relation (3) R and S both are equivalence relations (4) R is an equivalence relation but S is not an equivalence relation

ARIHANT MATHS-THE STRAIGHT LINES-Exercise (Single Option Correct Type Questions)
  1. If p(1),p(2),p(3) be the length of perpendiculars from the points (...

    Text Solution

    |

  2. A B C D is a square whose vertices are A(0,0),B(2,0),C(2,2), and D(0,2...

    Text Solution

    |

  3. The point (4,1) undergoes the following three successive transformatio...

    Text Solution

    |

  4. f is a function defined by f(x) = |x - 1| + 3. Find f(-9).

    Text Solution

    |

  5. The line x+y=p meets the x- and y-axes at Aa n dB , respectively. A tr...

    Text Solution

    |

  6. If P(1,0) ,Q(-1,0) and R(2,0) are three given points ,then the locus o...

    Text Solution

    |

  7. If A((sin alpha)/3 - 1,(cos alpha)/2 - 1) and B(1,1) alpha in [ -pi,pi...

    Text Solution

    |

  8. The line x+y=1 meets X - axis at A and Y - axis at B,P is the mid poin...

    Text Solution

    |

  9. Solve the following system of inequalities graphically : 4x + 6y le 24...

    Text Solution

    |

  10. The straight lines x+ 2y -9 =0, 3x +5y - 5 = 0 and ax+by-1 = 0 are c...

    Text Solution

    |

  11. If the ends of the base of an isosceles triangle are at (2, 0) and (0,...

    Text Solution

    |

  12. Consider a point A(m,n) , where m and n are positve intergers. B is th...

    Text Solution

    |

  13. A straight line L with negative slope passes through the point (8,2) a...

    Text Solution

    |

  14. If a pair of perpendicular straight lines drawn through the origin f...

    Text Solution

    |

  15. The number of integral values of m for which the x-coordinate of the p...

    Text Solution

    |

  16. A ray of light passes through the point (1, 2) reflects on the x-axis ...

    Text Solution

    |

  17. Consider the family of lines 5x+3y-2+lambda(1)(3x-y-4)=0 " and " x-y+1...

    Text Solution

    |

  18. In triangle ABC, the equation of the right bisectors of the sides AB a...

    Text Solution

    |

  19. Two particles start from the point (2,-1), one moves 2 units along the...

    Text Solution

    |

  20. Let P be (5, 3) and a point R on y=x and Q on the x-axis be such that ...

    Text Solution

    |