To practice the questions given in the worksheet on locus math we need to read the questions carefully and then follow the method of obtaining the equation of the point of a locus to solve these questions.

**1.** A point moves is always collinear with the points (2,-1) and (3, 4); find the equation to the locus of the moving point.

**2.** The sum of the distance of a moving points from the points (3, 0) and (-3, 0) is always equal to 12. Find the equation to the locus and identify the conic represented by the equation.

**3.** Find the equation to the locus of a moving point which moves in such a way that the difference of its distance from the points (5, 0) and (-5, 0) is always 5units.

**4.** Find the equation to the locus of a moving point which is equidistant from the point (2a, 2b) and (2c, 2d). Interpret geometrically the equation to the locus.

**5.** The variable straight line x/a + y/b = 1, is such that a + b = 10. Find the locus of the middle point of that part of the line, which is intercepted between the axes.

**6.** The sum of the intercepted cut off
from the co-ordinate axes by a variable line is 14 units. Find the locus of the
point which divides internally the portion of the line intercepted between the
co-ordinate axes in the ratio 3 : 4.

**8.** If θ is a variable, find the equation to the locus
of a moving point whose co-ordinate are (a sec θ, b tan θ).

**9.** The co-ordinate of a moving point P
are (ct + c/t, ct – c/t), where t is a variable parameter. Find the equation to
the locus of P.

**11.** The co-ordinate of a moving point P
are

{(2t + 1)/(3t – 1), (t – 1)/(t + 1)}, where t is a variable parameter. Find the equation to the locus of P.

x

Answers for the worksheet on locus are given below to check the exact answers of the above questions on math locus.

**Answers:**

**1.** 5x - y = 11.

**●** **Locus**

**Concept of Locus****Concept of Locus of a Moving Point****Locus of a Moving Point****Worked-out Problems on Locus of a Moving Point****Worksheet on Locus of a Moving Point****Worksheet on Locus**

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