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Question

Question: If (a, a<sup>2</sup>) lies inside the triangle formed by the lines 2x + 3y – 1 = 0, x + 2y – 3 = 0,...

If (a, a2) lies inside the triangle formed by the lines

2x + 3y – 1 = 0, x + 2y – 3 = 0, 5x – 6y – 1 = 0, then-

A

2a + 3a2 – 1 > 0

B

a + 3a2 – 3 < 0

C

a + 2a2 – 3 > 0

D

None of these

Answer

2a + 3a2 – 1 > 0

Explanation

Solution

At (0, 0), 2x + 3y – 1 = –1 < 0 … (1)

Ž 2a + 3a2 – 1 > 0

At (0, 0), x + 2y – 3 = – 3 < 0 … (2)

Ž a + 2a2 – 3 < 0 .