Worksheet on Locus of a Moving Point

To practice the questions given in the worksheet on locus of a moving point we need to follow the method of obtaining the equation of the locus to solve these questions.


1. A point moves in such a manner that three times of its abscissa is greater by 5 than two times of its ordinate; find the equation of its locus.

2. If twice the abscissa of a point moving in the xy-plane always exceeds three times its ordinate by 1, show that the locus of the point is a straight line.

3. A point moves in the xy-plane in such a way that its distance from the x-axis and the point (1, -2) are always equal. Find the equation of its locus.

4. A point moves in the xy-plane in such a way that its distance from the point (4, 0) is always equal to its distance from the y-axis. Find the equation to the locus of the moving point.

5. A point moves such that its distance from the y –axis is equal to its distance from the point (2, 0). Find its locus and identify the nature of the conic.

6. A point P (x, y) moves in the xy-plane in such a way that its distance from the point (0, 4) is equal to 2/3 rds of its distance from the x-axis ; find the equation to the locus of P.

7. Find the equation to the locus of a moving point which is equidistant from the points (2,3) and (4,-1).

8. Find the locus of a point which moves so that the sum of the squares of its distance from the points (3, 0) and (-3, 0) is always equal to 50.

9. A point moves in a plane such that its distance from the point (2, 3) exceeds its distance from the y-axis by 2. Find the equation to the locus of the point.

10. A point so moves that the sum of squares of its distance from (a, 0) and (-a, 0) is 2b2. Find the equation to the locus of the moving point. If a = b then what will be locus of the moving point?

11. The ratio of the distance of a moving point from the points (3, 4) and (1, -2) is 2 : 3; find the locus of the moving point.

12. A (1, 2) and B (5, -2) are two given points on the ey-planes, on which C is a moving point, such that the numerical value of the area of ΔCAB is 12 square units. Find the equation to the locus of C.


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


Answers:

1. 3x – 2y = 5.

3. x2 – 2x + 4y + 5 = 0.

4. y2 = 8 (x – 2).

5. y2 = 4(x – 1), parabola.

6. 9x2 + 5y2 – 72y + 144 = 0.

7. x – 2y = 1.

8. x2 + y2 = 16.

9. (y – 3)2 = 8x.

10. x2 + y2 = b2 – a2; x2 + y2 = 0 i.e., the moving point represent the origin.

11. 5x2 + 5y2 – 46x – 88y + 205 = 0.

12. x + y = 9 or, x + y + 3 = 0.

● Locus




11 and 12 Grade Math

From Worksheet on Locus of a Moving Point to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

RSS

  1. 5th Grade BODMAS Rule Worksheet | PEMDAS | Order of operations|Answers

    Apr 03, 25 03:11 PM

    5th Grade BODMAS Rule Worksheet
    In 5th Grade BODMAS Rule Worksheet you will get different types of problems on mathematical expressions involving different operations, mathematical expression with 'brackets' and 'of' and simplifying…

    Read More

  2. Worksheet on Simplification | Simplify Expressions | BODMAS Questions

    Apr 03, 25 02:58 PM

    Worksheet on Simplification
    In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

    Read More

  3. Divisible by 2 Video |Test of Divisibility by 2 Trick| Rules| Examples

    Apr 03, 25 10:25 AM

    Divisible by 2
    A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2. So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.

    Read More

  4. BODMAS Rule | Order of Operation | Definition, Examples, Problems

    Apr 03, 25 10:22 AM

    What is BODMAS Rule in Math?
    Easy and simple way to remember BODMAS rule!! B → Brackets first (parentheses) O → Of (orders i.e. Powers and Square Roots, Cube Roots, etc.) DM → Division and Multiplication

    Read More

  5. Before and After Video | Math Worksheets on Number | Before and After

    Apr 03, 25 12:44 AM

    before and after number worksheet
    Free math worksheets on numbers before and after help the kids to check how much they are good at numbers. The purpose of this math activity is to help your child to say a number in order and also hel

    Read More