Home
Class 11
MATHS
Let d1 and d2 be the lengths of the pe...

Let `d_1` and `d_2` be the lengths of the perpendiculars drawn from any point of the line `7x-9y+10= 0` upon the lines `3x+ 4y =5` and `12x+ 5y= 7` respectively. Then `(A) d_1> d_2 (B) d_1=d_2 (C) d_1< d_2 (D) d_1= 2d_2`

A

`d_(1) gt d_(2)`

B

`d_(1)=d_(2)`

C

`d_(1) lt d_(2)`

D

`d_(1)=2d_(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (B. Fill in the blanks)|10 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (C . True/False questions)|5 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise 10(l)|16 Videos
  • STATISTICS

    MODERN PUBLICATION|Exercise Chapter Test|7 Videos
  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Chapter Test (3)|12 Videos

Similar Questions

Explore conceptually related problems

Let the perpendiculars from any point on the line 7x+56y=0 upon 3x+4y=0 and 5x-12y=0 be p&p', then

The length of the perpendicular drawn from (1,2,3) to the line (x-6)/(3)=(y-7)/(2)=(z-7)/(-2) is a.4 b.5c.6d.7

Let d_1a n dd_2 be the length of the perpendiculars drawn from the foci Sa n dS ' of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 to the tangent at any point P on the ellipse. Then, S P : S^(prime)P= d_1: d_2 (b) d_2: d_1 d1 2:d2 2 (d) sqrt(d_1):sqrt(d_2)

If 'd' be the length of perpendicular drawn from origin to any normal of the ellipse (x^(2))/(25)+(y^(2))/(16)=1 then 'd' cannot exceed

If the length of perpendicular from the point (-1,2,-2) on the line (x+1)/(2)=(y-2)/(-3)=(z+2)/(4) is d then d^(2)

Show that the perpendiculars let fall from any point on the straight line 2x+11 y-5=0 upon the two strasightr lines 24 x+7y=20\ a n d\ 4x-3y-2=0\ are equal to each other.

If d_(1) , d_(2) ( d_(1) > d_(2) ) denote the lengths of the perpendiculars from the point (2,3) on the lines given by 15x^(2)+31xy+14y^(2)=0 , then d_(1)^(2) - d_(2)^(2) + (1)/(74) + (1)/(13) is equal to

If the distances from the points (6,-2),(3,4) to the lines 4x+3y=12,4x-3y=12 are d_(1) and d_(2) respectively then d_1:d_(2)=

The length of perpendicular from the poit (1,-1,2) on the line (x+1)/2=(2-y)/3=(z+2)/4 is (A) 0 (B) sqrt(6) (C) sqrt(21) (D) none of these

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is 2 (b) 0 (c) 4 (d) 1

MODERN PUBLICATION-STRAIGHT LINES -OBJECTIVE TYPE QUESTIONS (A. MULTIPLE CHOICE UESTIONS )
  1. The intercept cut off from Y-axis is twice that from X-axis by the lin...

    Text Solution

    |

  2. A straight line through P(1,2) is such that its intercept between the...

    Text Solution

    |

  3. Slope of a line which cuts off intercepts of equal lengths on the axes...

    Text Solution

    |

  4. A point moves such teat its distance from the point (4,0) is half that...

    Text Solution

    |

  5. A line cutting off intercept -3 from the Y-axis and the tangent at ang...

    Text Solution

    |

  6. Find the tangent of the angel between the lines whose intercepts n the...

    Text Solution

    |

  7. If the line x/a+y/b=1 passes through the points a (2,- 3) and (4, - 5)...

    Text Solution

    |

  8. The distance of the point of intersection of the lines 2x-3y+5=0 and 3...

    Text Solution

    |

  9. Show that the equations of eth straight lines passing through the poin...

    Text Solution

    |

  10. Consider the following statements : 1. The distance between the line...

    Text Solution

    |

  11. If the coordinates of the middle point of the portion of a line interc...

    Text Solution

    |

  12. Equation of the line passing through (1,2) and parallel to the line y=...

    Text Solution

    |

  13. Find the equations of the diagonals of the square formed by the lines ...

    Text Solution

    |

  14. For specifying a straight line, how many geomatrical parameters should...

    Text Solution

    |

  15. Slope of the line joining the points (3,-2) and (7,-2) is :

    Text Solution

    |

  16. Equation of line passing through the point (1,2) and perpendicular to ...

    Text Solution

    |

  17. Let d1 and d2 be the lengths of the perpendiculars drawn from any po...

    Text Solution

    |

  18. The equation of the line passing through the point of intersection of ...

    Text Solution

    |

  19. The points (2,5) and (5,1) are two opposite vertices of a rectangle. I...

    Text Solution

    |

  20. If p and q are respectively the perpendiculars from the origin upon th...

    Text Solution

    |