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The equation of the line through the poi...

The equation of the line through the point (-5,4) such that its segment intercepted by the lines `x+2y+1=0` and `x+2y-1=0` is of length `2/(sqrt(5))` is

A

`2x-y=4`

B

`2x-y=-14`

C

`2x-y=0`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(2)(MULTIPLE CHOICE QUESTIONS)
  1. How are the points (3,4) and (2,-6) situated w.r.t the line 3x-4y-8=0?

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  2. The sides AB,BC,CD and DA of a quadrilateral are x+2y=3,x=1,x-3y=4,5x...

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  3. The equation of the line through the point (-5,4) such that its segmen...

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  4. Let PS be the median of the triangle with vertices P(2,2), Q(6,-1) an ...

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  5. If A(9,-9),B(1,3) are the ends of a right angled isosceles triangle t...

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  6. A triangle ABC right angled at A has points A and B as (2, 3) and (0, ...

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  7. The medians AD and BE of the triangle with vertices A(0,b),B(0,0) and ...

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  8. The line 4x+y=lamda cuts the axes of co ordinates at A and B. If C is ...

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  9. The equations of perpendicular bisectors of the sides AB and AC of a ...

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  10. The side AB of an isosceles triangle is along the axis of x with verti...

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  11. A straight line through the point (2,2) intersects the line sqrt(3)x+y...

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  12. The line ax+by+c=0 intersects the line x cos alpha+y sinalpha=c at the...

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  13. A line passes through (2,2) and is perpendicular to the line 3x+y=3 .I...

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  14. If the lines x(sinalpha+sinbeta)-ysin(alpha-beta)=3 and x(cosalpha+c...

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  15. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

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  16. The points A(x,y), B(y, z) and C(z,x) represents the vertices of a rig...

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  17. If A(1,1),B(sqrt(3)+1,2) and C(sqrt(3),sqrt(3)+2) be three vertices of...

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  18. A(-2,4),B(-1,2),C(1,2) and D(2,4) are the vertices of a quadrilateral....

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  19. The four sides of a quadrilateal are given by xy(x-2)(y-3)=0. A line i...

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  20. The vertex C of a triangle ABC moves on the line L-=3x+4y+5=0. The c...

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