If ax 1 + by 1 + c is of the same sign as c, then the point (x 1 , y 1 ) lie on the origin side of ax + by + c = 0. But if the sign of ax 1 + by 1 + c is opposite to that of c, the point (x 1 , y 1 ) will lie on the non − origin side of ax + by + c = 0.
In general two points (x 1, y 1 ) and (x 2 , y 2 ) will lie on same side or opposite side of ax + by + c = 0 according as ax 1 + by 1 + c and ax 2 + by 2 + c are of same or opposite sign respectively.
(i) Which pair of points lie on the same side of 3x – 8y – 7 = 0
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i) Line is L 1 = 3x – 8y – 7 = 0
(i) (0, –1) L 1 > 0
(0, 0) L 1 < 0
(ii) (4, –3) L 1 > 0
(0, 1) L 2 < 0
(iii) (–3, –4) L 1 > 0
(1, 2) L 2 < 0
(iv) (–1, –1) L 1 < 0
(3, 7) L 2 < 0 Same side
(ii)
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems