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The locus of a point which moves so that...

The locus of a point which moves so that the difference of the squares of its distance from two given points is constant, is a

A

a) straight line

B

b) plane

C

c) sphere

D

d) None of these

Text Solution

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The correct Answer is:
(b)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. The direction cosines of the lines bisecting the angle between the lin...

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  2. The equation of the plane perpendicular to the line (x-1)/(1), (y-2)/(...

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  3. The locus of a point which moves so that the difference of the squares...

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  4. The position vectors of points a and b are hat(i)-hat(j)+3hat(k) and 3...

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  5. The vector equation of the plane through the point 2hat(i)-hat(j)-4hat...

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  6. Let vector be the 2hat(i)+hat(j)-hat(k) then find the unit vector in ...

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  7. For the line (x-1)/1=(y-2)/2=(z-3)/3, which one of the following is ...

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  8. Find the value of m for which the straight line 3x-2y+z+3=0=4x-3y+4z+1...

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  9. The length of projection of the line segment joining the points (1,0,-...

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  10. The number of planes that are equidistant from four non-coplanar point...

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  11. In a three-dimensional coordinate system, P ,Q ,and R are images of ...

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  12. A plane passing through (1,1,1) cuts positive direction of coordinates...

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  13. The equation of the line passing through (1, 1, 1) and perpendicular t...

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  14. The equation of the plane through the intersection of the planes x+y+z...

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  15. Two system of rectangular axes have the same origin. If a plane cuts t...

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  16. ABC is an isosceles triangle right angled at A. forces of magnitude 2s...

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  17. Consider the following 3lines in space L1:r=3hat(i)-hat(j)+hat(k)+la...

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  18. Find the angle between the pair of lines r=3hat(i)+2hat(j)-4hat(k)+l...

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  19. Find the shortest distance between the lines given by the equations ve...

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  20. Find the angle between the line r=hat(i)+2hat(j)-hat(k)+lambda(hat(i)-...

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