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Collinearity Condition

A and B be th...

Question

A and B be the points (3, 4, 5) and (-1, -3, -7), respectively, the equation of the set of points P such that PA² + PB² = k², where k is a constant will

A

Have a term of k to the power 1 and another with k to the power 2

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B

Have a term of k to the power 1 only

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C

Have a term of k to the power 2 only

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D

Be independent of k

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Solution

The correct option is C
Have a term of k to the power 2 only

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Similar questions

A

B

(3, 4, 5)

(- 1, 3, - 7)

respectively. Find the equation of the set of points

P

P A^{2}

P B^{2}

= K^{2}

K

A

B

be two fixed points and

P

, another point in the plane, moves in such a way that

k_{1} P A + k_{2} P B = k_{3}

k_{1}, k_{2}, k_{3}

are real constants. The locus of

P

Q. The coordinates of the points

A

B

(a, 0)

(- a, 0)

, respectively. If a point

P

P A^{2} - P B^{2} = 2 k^{2}

k

is constant, then find the equation to the locus of the point

P

.

Q. The co-ordinates of the points A and B are (2, 3, 4), (–2, 5,– 4) respectively. If a point P moves so that

P A^{2} - P B^{2} = k

where k is a constant, then the locus of P is

Q. Three gaseous equilibria have values of equilibrium constants as

K_{1}, K_{2}, K_{3}

A + B ⇌ C {(K}_{1}); B + C ⇌ P + Q {(K}_{2})

A + 2 B ⇌ P + Q {(K}_{3})

What is relationship between

K_{1}, K_{2}, K_{3}

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Collinearity Condition

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