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If P be a point equidistant from points A (3,4) and B (5,-2) and area of `DeltaPAB` is 10 square units, then find the co-ordinates of point P.

A

Only (1 ,0)

B

Only (7 , 2)

C

Either (1,0) or (7,2)

D

Either (1, 0) nor (7,2)

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The correct Answer is:
C
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PUNEET DOGRA-POINT & LINE -PREV YEAR QUESTIONS
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  2. Which one of the following is correct is respect of the equations (x -...

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  3. If P be a point equidistant from points A (3,4) and B (5,-2) and area ...

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  4. What is the product of the perpendiculars drawn from the points (pm sq...

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  5. Two straight line paths are represented by the equations 2x -y = 2 and...

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  6. What is the inclination of the line sqrt(3)x - y - 1 = 0 ?

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  7. A straight line passes through the points (5 , 0) and (0,3) . The leng...

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  8. What is the equation of a straight line which passes through (3 , 4) a...

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  9. What is the angle between the line x + y = 1 and x - y = 1 ?

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  10. What is the equation of the straight line passing through (5 , -2) and...

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  11. The equation of the line , the reciprocals of whose intercepts on the ...

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  12. The equation of the locus of a poinnt which is equidistant from the ax...

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  13. A point P moves such that its distances from (1 , 2) and (-2 , 3) are ...

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  14. What angle does the line segment joining (5 , 2) and (6 , -15) subtend...

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  15. Find the equation of a line which passes through (– 3, 2) and perpendi...

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  16. For what value of k are the two straight lines 3x + 4y = 1 and 4x + 3y...

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  17. The vertices of a parallelogram in order are A(1, 2), B(4, y), C(x, 6)...

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  18. What is the distance between the lines 3x + 4y = 9 and 6x + 8y = 18 ?

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  19. What is the equation of line passing through (0 , 1) and making an ang...

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  20. What is the perpendicular distance of the point (x , y) from X-axis ?

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