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If the equation (a(1)-a(2))x+(b(1)-b(2))...

If the equation `(a_(1)-a_(2))x+(b_(1)-b_(2))y=c` represents the perpendicular bisector of the segment joining `(a_(1),b_(1)),(a_(2),b_(2))` then 2c=

A

`a_(1)^(2)+b_(1)^(2)-a_(2)^(2)-b_(2)^(2)`

B

`a_(1)^(2)+b_(1)^(2)+a_(2)^(2)+b_(2)^(2)`

C

`a_(1)^(2)-b_(1)^(2)+a_(2)^(2)-b_(2)^(2)`

D

`a_(1)a^(2)+b_(1)b^(2)`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-STRAIGHT LINES-EXERCISE I
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  2. The equation of the line passing through the (2,3) and perpendicular t...

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  3. If the equation (a(1)-a(2))x+(b(1)-b(2))y=c represents the perpendicul...

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  4. A(-1, 1), B(5, 3) are opposite vertices of a square. The equation of t...

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  5. In a rhombus ABCD the diagonals AC and BD intersect at the point (3, 4...

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  6. The equation of the straight line whose slope is 4 and y-intercept is ...

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  7. The equation of the straight line whose inclination is (pi)/4 and x-in...

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  8. The equation of a straight line passing through, (3,-1) and having int...

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  9. The intercepts a,b of a straight line on the co ordinate axes are give...

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  10. A straight line passes through the fixed point [1/k,1/k]. The sum of ...

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  11. The area of the triangle formed by the line x cos alpha+y sin alpha=p ...

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  12. If the area of the triangle formed by the lines x=0, y=0, 3x+4y=a(a gt...

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  13. The area of the triangle formed by the line passing through the points...

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  14. If a straight line perpendicular to 2x-3y+7=0 forms a triangle with th...

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  15. The equation of a straight line, perpendicular to 3x-4y=6 and forming ...

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  16. The equation of the line whilch is 10 units from the origin and the no...

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  17. A straight line makes an angle (pi)/3 with positive direction of x-axi...

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  18. Normal form of the line x+y+sqrt(2)=0 is

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  19. Symmetric form of the line through (-2,0) having slope (-1)/(sqrt(3) i...

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  20. The perpendicular distance from origin to the line x/(p sec alpha)+y/(...

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