Home
Class 12
MATHS
The coordinates of the foot of the perpe...

The coordinates of the foot of the perpendicular from the point `(2,3)` on the line `-y+3x+4=0` are given by `((37)/(10),-1/(10))` (b) `(-1/(10),(37)/(10))` `((10)/(37),-10)` (d) `(2/3,-1/3)`

A

(37,/10,-1/10)

B

(-1/10,37/10)

C

(10/37,-10)

D

(2/3,-1/3)

Text Solution

Verified by Experts

The correct Answer is:
B
The line passing through (2,3) and perpendicular to -y+3x+4=0 is
`(y-3)/(x-2) =-(1)/(3)`
or 3y+x-11 = 0
Therefore, the foot is x=-1/10, y=37/10.
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Multiple)|30 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Comprehension)|27 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise 2.6|5 Videos

  • STRAIGHT LINE

    CENGAGE|Exercise Multiple Correct Answers Type|8 Videos

  • THEORY OF EQUATIONS

    CENGAGE|Exercise JEE Advanced Previous Year|9 Videos

Similar Questions

Explore conceptually related problems

The coordinates of the foot of the perpendicular from the point (2,3) on the line -y+3x+4=0 are given by (a) ((37)/(10),-1/(10)) (b) (-1/(10),(37)/(10)) (c) ((10)/(37),-10) (d) (2/3,-1/3)

Find the coordinates of the foot of perpendicular from the point (-1, 3) to the line 3x - 4y - 16 = 0 .

The coordinates of the foot of the perpendicular from the point (3,-1,11) on the line x/2=(y-2)/3=(z-3)/4

Find the foot of the perpendicular drawn from the point (1,0, 3) to the join of points (4,7,1) and (3,5,3).

The foot of the perpendicular from A (1, 0, 0) to the line (x-1)/2=(y+1)/(-3)=(z+10)/8 is

The coordinates o the foot of the perpendicular drawn from the origin to the line joining the point (-9,4,5)a n d(10 ,0,-1) will be a. (-3,2,1) b. (1,2,2) c. 4,5,3 d. none of these

Find the nearest point on the line 3x+y=10 from the origin is:

Find the length of the perpendicular and the coordinates of the foot of the perpendicul from (-10,-2) to the line x+y -2=0

Find the length of the perpendicular and the co-ordinates of the foot of the perpendicular from (-10,-2) to the line x+y-2=0.

CENGAGE-STRAIGHT LINES-Exercise (Single)
  1. In an isoceles triangle OAB , O is the origin and OA=OB=6 . The equati...

    Text Solution

    |

  2. A straight line through the origin 'O' meets the parallel lines 4x +2y...

    Text Solution

    |

  3. The coordinates of the foot of the perpendicular from the point (2,3) ...

    Text Solution

    |

  4. The straight lines 7x-2y+10=0 and 7x+2y-10=0 form an isosceles triangl...

    Text Solution

    |

  5. The equations of the sides of a triangle are x+y-5=0, x-y+1=0, and y-1...

    Text Solution

    |

  6. If the intercepts made by the line y=mx by lines x=2 and x=5 is less t...

    Text Solution

    |

  7. The range of values of theta in the interval (0, pi) such that the poi...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. Consider the points A(0,1)a n dB(2,0),a n dP be a point on the line 4x...

    Text Solution

    |

  10. Consider the point A= (3, 4), B(7, 13). If 'P' be a point on the line ...

    Text Solution

    |

  11. The area enclosed by 2|x|+3|y|lt=6 is 3 sq. units (b) 4 sq. units 1...

    Text Solution

    |

  12. A B C is a variable triangle such that A is (1,2) and B and C lie on l...

    Text Solution

    |

  13. In A B C , the coordinates of the vertex A are (4,-1) , and lines x-y...

    Text Solution

    |

  14. P is a point on the line y+2x=1, and Q and R two points on the line 3y...

    Text Solution

    |

  15. If the equation of base of an equilateral triangle is 2x - y = 1 and ...

    Text Solution

    |

  16. The locus of a point that is equidistant from the lines x+y - 2sqrt2 =...

    Text Solution

    |

  17. If the quadrilateral formed by the lines a x+b y+c=0,a^(prime)x+b^(pri...

    Text Solution

    |

  18. A line of fixed length 2 units moves so that its ends are on the pos...

    Text Solution

    |

  19. If the extremities of the base of an isosceles triangle are the points...

    Text Solution

    |

  20. A-=(-4,0),B-=(4,0)dotMa n dN are the variable points of the y-axis s...

    Text Solution

    |