Algebra
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Limits, Continuity and Differentiability
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IIT-JEE 2009 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
The locus of the orthocentre of the triangle formed by the lines
$$(1 + p)x - py + p(1 + p) = 0,
$$
$$(1 + q)x - qy + q(1 + q) = 0$$
and $$y = 0$$, where $$p \ne q$$, is :
2
IIT-JEE 2007
MCQ (Single Correct Answer)
+3
-0.75
STATEMENT-1: The curve $$y = {{ - {x^2}} \over 2} + x + 1$$ is symmetric with respect to the line $$x=1$$. because
STATEMENT-2: A parabola is symmetric about its axis.
3
IIT-JEE 2007
MCQ (Single Correct Answer)
+4
-1
Consider the circle $${x^2} + {y^2} = 9$$ and the parabola $${y^2} = 8x$$. They intersect at $$P$$ and $$Q$$ in the first and the fourth quadrants, respectively. Tangent to the circle at $$P$$ and $$Q$$ intersect the $$x$$-axis at $$R$$ and tangents to the parabola at $$P$$ and $$Q$$ intersect the $$x$$-axis at $$S$$.
The radius of the incircle of the triangle $$PQR$$ is
4
IIT-JEE 2007
MCQ (Single Correct Answer)
+4
-1
Consider the circle $${x^2} + {y^2} = 9$$ and the parabola $${y^2} = 8x$$. They intersect at $$P$$ and $$Q$$ in the first and the fourth quadrants, respectively. Tangent to the circle at $$P$$ and $$Q$$ intersect the $$x$$-axis at $$R$$ and tangents to the parabola at $$P$$ and $$Q$$ intersect the $$x$$-axis at $$S$$.
The radius of the circumcircle of the triangle $$PRS$$ is
Questions Asked from MCQ (Single Correct Answer)
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