Solve the following:
(a) The locus of a point whose x coordinate is always 7 is the equation.
(b) Show that the point (3,1) does not lie on the line 3x + 4y = 16. [4 MARKS]

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Solution

Subparts : 2 Marks each

(a) The required locus will be a straight line in which every point will have its X coordinate equal to 7, irrespective of its Y coordinate value. The equation is independent of the variable y.

The required equation is x = 7

(b) Putting x = 3, y = 1 in the equation 3x + 4y = 16,

$(3 \times 3) + (4 \times 1) = 13 \neq 16$

The equation does not hold. Hence, the point (3, 1) does not lie on the line 3x + 4y = 16

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Solve the following: (a) The locus of a point whose x coordinate is always 7 is the equation. (b) Show that the point (3,1) does not lie on the line 3x + 4y = 16. [4 MARKS]

Solve the following:
(a) The locus of a point whose x coordinate is always 7 is the equation.
(b) Show that the point (3,1) does not lie on the line 3x + 4y = 16. [4 MARKS]