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Question

Which of the following points lie on the same side of origin with respect to the line

x - 3y + 7 = 0?



A

(9, 3) 

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B

(3, 9)

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C

(3, -9) 

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D

(-9, -3)

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Solution

The correct options are
A

(9, 3) 


C

(3, -9) 


Two points lie on the same side of a given straight line if we get same sign after substituting those points in the given s+ line.

We want to find the points which lie on the side of origin.

(0, 0)   0 - 3 × 0 + 7 = 7   +ve,

So we will look for points which gives positive sign

(A)(9, 3)   9 - 3 × 3 + 7 = 7 = 7 +ve

  (9, 3) lies on the same side of origin.

(B)(3, 9)   3 - 3 × 9 + 7   -ve

  (3, 9) lies on the opposite side

(C)(3,-9)   3 - 3 × 9 + 7   +ve

  (3, -9) lies on the same side

(D)(-9, -3)   3 × -9 - 3 × -3 + 7   -ve

  (-9, -3) lies on the opposite side

  A, C lie on the same side


Mathematics

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