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Qn #1841
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$ABC$ is isosceles with $AB = AC$.
$BC$ is parallel to x-axis.
$m_1, m_2$ are slopes of the medians from $B$ and $C$.
Then:
Qn #1819
If the distance of $(x,y)$ from the origin is defined as
$d(x,y) = \max(|x|,|y|)$,
then the locus of points where $d(x,y)=1$ is:
Qn #1520
The locus of the intersection of the two lines $\sqrt{3} x-y=4k\sqrt{3}$ and $k(\sqrt{3}x+y)=4\sqrt{3}$, for different
values of k, is a hyperbola. The eccentricity of the hyperbola is:
Qn #1435
A circle touches the X-axis and also touches another circle with centre at (0, 3) and radius 2.
Then the locus of the centre of the first circle is
Qn #1411
The locus of the mid points of all chords of the parabola $y^{2}=4x$
which are drawn through its
vertex, is
Qn #1198
A line passing through (4, 2) meets the x and y-axis at P and Q respectively. If O is the origin, then the locus of the centre of the circumcircle of ΔOPQ is -
Qn #1173
The locus of the orthocentre of the triangle formed by the lines (1+p)x-py+p(1+p)=0, (1+p)(x-q)+q(1+ q)=0 and y=0 where p≠q is
Qn #836
The locus of the point of intersection of tangents to the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ which meet right angles is