Question

(a) Does the point (2, 4) lies in the locus whose equation is (i) x + 2y = 10 (ii) x ^ 2 + y ^ 2 = 20​

Answer 1

Step-by-step explanation:

Point (Given) is (2,4).

(i) In point (2,4) x is 2 and y is 4.

Now substitute the values of x and y in the equation.

x + 2y = 10

2 + 2(4) = 10

2 + 8 = 10

10 = 10

∴ L.H.S. = R.H.S

Hence the point (2,4) lies on locus of first equation.

(ii) Now substitute the values of x and y in the second equation.

x² + y² = 20

(2)² + (4)² = 20

4 + 16 = 20

20 = 20

∴ L.H.S. = R.H.S.

Hence point (2,4) also lies on locus of second equation.

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