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One to One Function

25.when we ha...

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25.when we have to find locus of point then we just find the equation of path formed by a moving path and when we have asked to find equation of any curve then also we find equation of that curve . then what special difference between finding equation and locus. Is both the term are different?

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A locus is a curve traced out by a point which moves under certain geometrical conditions:To find the locus of a point first we assume the coordinates of the moving point as

(h, k)

and then try to find a relation between

h

k

with the help of the given conditions of the problem. If there is any variable involved in the process then we eliminate them. At last, we replace

h

x

k

y

and get the locus of the point which will be an equation in

x

y

.

Locus of centroid of the triangle whose vertices are

(a cos t, a sin t), (b sin t, - b cos t)

(1, 0)

, where t is a parameter is:

When the equation 3x + 5 = 7 is solved, then we find that x is a/an

Q. If we have been asked to find probability and given that two dice are thrown at a time and we have to find probability of getting sum of 7 then the combination of dice we have is 4&3 and 3&4 so we have to use it once or two times

Q. If we are given any equation on the basis of law of proportion or mass how do we know that whether we have to add or solve by finding out the ratio ?
is it that in law of mass heating word would be used in the question ?

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

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