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. Tangents 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 ratio of the areas of the triangles PQS and PQR is
The radius of the circumcircle of the triangle PRS is
The radius of the incircle of the triangle PQF is
For the following questions answer them individually
Consider the following linear equations
$$ax + by + cz = 0$$
$$bx + cy + az = 0$$
$$cx + ay + bz = 0$$
Match the conditions/expressions in Column I with statements in Column II and indicate your answer by darkening the appropriate bubbles in the $$4 \times 4$$ matrix given in the ORS.
In the following [x] denotes the greatest integer less than or equal to x.
Match the functions in Column I with the properties in Column II and indicate your answer by darkening the appropriate bubbles in the 4 x 4 matrix given in the ORS.
Match the integrals in Column I with the values in Column II and indicate your answer by darkening the appropriate bubbles in the $$4 \times 4$$ matrix given in the ORS.