Q11 of 112 Page 163

Find the equation of the straight line whose x and y–intercepts on the axes are given by

(i) 2 and 3 (ii)


(iii)

The equation of the straight line whose x and y intercepts are given as ‘a’ and ‘b’ respectively, is of the form



(i) Here given x intercept as 2 and y intercept as 3


The equation of the line


=


⇒ 3x + 2y = 6


⇒ 3x + 2y –6 = 0


(ii) Given x intercept as and y intercept as


The equation of the line


⇒


⇒


⇒ –9x + 2y = 3


⇒ –9x + 2y –3 = 0


(iii) Given x intercept as and y intercept as


The equation of the line


⇒


⇒


⇒


⇒ 15x –8y –6 = 0


More from this chapter

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9

Find the equation of the median from the vertex R in a ΔPQR with vertices at

P(1, –3), Q(–2, 5) and R(–3, 4).

 10

By using the concept of the equation of the straight line, prove that the given three points are collinear.

(i) (4, 2), (7, 5) and (9, 7)


(ii) (1, 4), (3, –2) and (–3, 16)

 12

Find the x and y intercepts of the straight line

(i) 5x + 3y – 15 = 0 (ii) 2x – y + 16 = 0


(iii) 3x + 10y + 4 = 0

 13

Find the equation of the straight line passing through the point (3, 4) and has intercepts which are in the ratio 3 : 2.