MCA Entrance Previous Year Question Bank

Let $AB$ be a chord of a circle $x^2+y^2=a^2$ subtending a right angle at the center. Then the locus of centroid of triangle $PAB$ as $P$ moves on the circle is

The incenter of the triangle formed with vertices $(1,\sqrt{3})$, $(0,0)$, $(2,0)$, is:

The lines $\frac{x}{1}=\frac{y}{2}=\frac{z}{3}$and$\frac{x-1}{-2}=\frac{y-2}{-4}=\frac{x-3}{-6}$are

A family of circles lies in the second quadrant and touches both the x-axis and y-axis. The general form of the equation for such a circle is: $(x+a{)}^2+(y-a{)}^2=$ a^{2},a>0. Which of the following represent the differential equation for this family of circles?

A square OABC is inscribed in a quadrant OPBQ of a circle as shown in the figure. If OA = 14 cm, find the area of the shaded region