Home
Class 12
MATHS
The line L given by x/5 + y/b = 1 passes...

The line L given by `x/5 + y/b = 1` passes through the point (13,32).the line K is parallel to L and has the equation `x/c+y/3=1` then the distance between L and K is

A

`(17)/(sqrt15)`

B

`(23)/(sqrt17)`

C

`(23)/(sqrt15)`

D

`sqrt17)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION C) (OBJECTIVE TYPE QUESTIONS) (MORE THAN ONE ANSWER)|14 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION D) (LINKED COMPREHENSION TYPE QUESTIONS)|12 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION A) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)|50 Videos
  • STATISTICS

    AAKASH INSTITUTE|Exercise Section-C Assertion-Reason|15 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

Similar Questions

Explore conceptually related problems

The line given by (x)/(5)+(y)/(b)=1 passes through the point (13,32) the line K is parallel to L and has the equation (x)/(c)+(y)/(3)=1 then the distance between L and K is

The line L given by (x)/(5)+(y)/(b)=1 passes through the point (13,32). The line K is parallel to L and by has the equation (x)/(c)+(y)/(3)=1. Then the distance between L and K is (a) sqrt(17)quad (b) (17)/(sqrt(15)) (c) (23)/(sqrt(17)) (d) (23)/(sqrt(15))

The line L is given by 2x+by=7 , passes through (8, 3). The line K is parallel to L and has the equation cx -3y=c . Find the distance between L and K.

The line L_(1):(x)/(5)+(y)/(b)=1 passes through the point (13, 32) and is parallel to L_(2):(x)/(c)+(y)/(3)=1. Then, the distance between L_(1) andL_(2) is

A line L passes through the point P(5,-6,7) and is parallel to the planes x+y+z=1 and 2x-y-2z=3 .What is the equation of the line L ?

Find the equation of a line passes through the point (1,3) and parallel to the line 3x-5y+7=0 .

Find the equation of a line passes through the points (3,4) and parallel to the line x+5y=1 .

Find the equation of a line passing through the point (-3,2) and parallel to line 4x - 3y - 7 = 0 .

A line L has a slope of -2 and passes through the point (r,,-3). A second line,K is perpendicular to L at (a,b) and passes through the point (6,r). Find a in terms of r.

A line L passes through the point P(5,-6,7) and is parallel to the planes x+y+z=1 and 2x-y-2z=3. What are the direction ratios of the line of intersection of the given planes?

AAKASH INSTITUTE-STRAIGHT LINES-ASSIGNMENT (SECTION B) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)
  1. If (a,a^(2)) falls inside the angle made by the lines y=(x)/(2), x g...

    Text Solution

    |

  2. Let P = (-1, 0), Q = (0, 0) and R = (3, 3sqrt3) be three points. The e...

    Text Solution

    |

  3. The line L given by x/5 + y/b = 1 passes through the point (13,32).the...

    Text Solution

    |

  4. If P(1,2)Q(4,6),R(5,7), and S(a , b) are the vertices of a parallelogr...

    Text Solution

    |

  5. Find the equation of the bisector of the obtuse angle between the line...

    Text Solution

    |

  6. The diagonals of a parallelogram PQRS are along the lines x+3y =4 and ...

    Text Solution

    |

  7. The points on x+y=4 that lie at a unit distance from the line 4x+3y-10...

    Text Solution

    |

  8. The line 5x + 4y = 0 passes through the point of intersection of strai...

    Text Solution

    |

  9. The equation of the base of an equilateral triangle is x+y=2 and its v...

    Text Solution

    |

  10. A ray of light is sent along the line which passes through the point (...

    Text Solution

    |

  11. Line a x+b y+p=0 makes angle pi/4 with cosalpha+ycosalpha+ysinalpha=p ...

    Text Solution

    |

  12. Find the image of the point (-8,12) with respect to line mirror 4x+7y+...

    Text Solution

    |

  13. in a triangle ABC, if A is (1, 2) and the equations of the medians thr...

    Text Solution

    |

  14. The equation of straight line equally inclined to the axes and equidis...

    Text Solution

    |

  15. A line passing through (0,0) and perpendicular to 2x+y+6=0,4x+2y-9=0 t...

    Text Solution

    |

  16. The centroid of the triangle formed by the pair of straight lines 12x^...

    Text Solution

    |

  17. If x^2-2p x y-y^2=0 and x^2-2q x y-y^2=0 bisect angles between each ot...

    Text Solution

    |

  18. If a , ba n dc are in A P , then the straight line a x+b y+c=0 will al...

    Text Solution

    |

  19. The straight line ax + by = 1 makes with the curve px^2 + 2axy + qy^2 ...

    Text Solution

    |

  20. the lines L1 and L2 denoted by 3x^2 + 10xy +8y^2 +14x +22y + 15 =...

    Text Solution

    |