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 .