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The coordinates of the point Aa n dB are...

The coordinates of the point `Aa n dB` are (a,0) and `(-a ,0),` respectively. If a point `P` moves so that `P A^2-P B^2=2k^2,` when `k` is constant, then find the equation to the locus of the point `Pdot`

A

`2ax-k^(2)=0`

B

`2ax+k^(2)=0`

C

`2ay-k^(2)=0`

D

`2ay+k^(2)=0`

Text Solution

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The correct Answer is:
B
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DISHA PUBLICATION-STRAIGHT LINES AND PAIR OF STRAIGHT LINES-EXERCISE 1: CONCEPT BUILDER
  1. The three points [(a+b)(a+2b),(a+b)],[(a+2b)(a+3b),(a+2b)] and [(a+3b)...

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  2. The locus of the moving point whose coordinates are given by (e^t+e^(-...

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  3. The coordinates of the point Aa n dB are (a,0) and (-a ,0), respect...

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  4. A point A divides the join of P(-5,1) and Q(3,5) in the ratio k :1 . T...

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  5. The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) ...

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  6. Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled ...

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  7. All points lying inside the triangle formed by the points (1. 3). (5, ...

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  8. The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent...

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  9. Let A(2,-3)a n dB(-2,1) be vertices of a triangle A B Cdot If the cent...

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  10. A rectangle A B C D , where A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2) , under...

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  11. The ends of the base of an isosceles triangle are at (2a, 0)and (0, a)...

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  12. The point (x,y) lies on the line with slope m and passes through the f...

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  13. The two linesax+by=cand a'x+b'y=c' are perpendicular if

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  14. The slopes of the lines which make an angle 45^@ with the line 3x-y=-5...

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  15. The lines x+2y-5=0, 2x-3y+4=0,6x+4y-13=0

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  16. Two points P(a,0) and Q(-a,0) are given, R is a variable on one side o...

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  17. Consider the equation sqrt(3)x+y-8=0 I. Normal form of the given equ...

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  18. The diagonals of the parallelogram whose sides are lx+my+n = 0,lx+ my+...

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  19. The equation of a straight line which cuts off an intercept of 5 units...

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  20. A ray of light passsing through a point (1,2) is reflected on the x-ax...

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