AIEEE 2004 | Straight Lines and Pair of Straight Lines Question 154 | Mathematics

Let $$A\left( {2, - 3} \right)$$ and $$B\left( {-2, 1} \right)$$ be vertices of a triangle $$ABC$$. If the centroid of this triangle moves on the line $$2x + 3y = 1$$, then the locus of the vertex $$C$$ is the line :

$$3x - 2y = 3$$

$$2x - 3y = 7$$

$$3x + 2y = 5$$

$$2x + 3y = 9$$

AIEEE 2004

MCQ (Single Correct Answer)

-1

The equation of the straight line passing through the point $$(4, 3)$$ and making intercepts on the co-ordinate axes whose sum is $$-1$$ is :

$${x \over 2} - {y \over 3} = 1$$ and $${x \over -2} +{y \over 1} = 1$$

$${x \over 2} - {y \over 3} = -1$$ and $${x \over -2} +{y \over 1} = -1$$

$${x \over 2} + {y \over 3} = 1$$ and $${x \over 2} +{y \over 1} = 1$$

$${x \over 2} + {y \over 3} = -1$$ and $${x \over -2} +{y \over 1} = -1$$

AIEEE 2003

MCQ (Single Correct Answer)

-1

Out of Syllabus

If the pair of straight lines $${x^2} - 2pxy - {y^2} = 0$$ and $${x^2} - 2qxy - {y^2} = 0$$ be such that each pair bisects the angle between the other pair, then :

$$pq = -1$$

$$p = q$$

$$p = -q$$

$$pq = 1$$.

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