JEE (Advanced) 2007 Paper-1

Instructions

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.

Question 61

The ratio of the areas of the triangles PQS and PQR is

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Question 62

The radius of the circumcircle of the triangle PRS is

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Question 63

The radius of the incircle of the triangle PQF is

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Instructions

For the following questions answer them individually

Question 64

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.

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123
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Question 65

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.

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789
456
123
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Question 66

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.

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789
456
123
0.-
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Video Solution
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