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For the following compounds, the correct statement(s) with respect to nucleophilic substitution reactions is(are)
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Question 1
Consider two straight lines, each of which is tangent to both the circle and the parabola . Let these lines intersect at the point . Consider the ellipse whose center is at the origin and whose semi-major axis is . If the length of the minor axis of this ellipse is , then which of the following statement(s) is (are) TRUE?For the ellipse, the eccentricity is and the length of the latus rectum is 1(b) For the ellipse, the eccentricity is and the length of the latus rectum is (c) The area of the region bounded by the ellipse between the lines and is (d) The area of the region bounded by the ellipse between the lines and is Question 2
For a point in the plane, let be the distances of the point from the lines respectively. The area of the region consisting of all points lying in the first quadrant of the plane and satisfying isQuestion 3
Let be a symmetric matrix with integer entries. Then is invertible ifThe first column of is the transpose of the second row of The second row of is the transpose of the first column of is a diagonal matrix with non-zero entries in the main diagonalThe product of entries in the main diagonal of is not the square of an integer
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| Question Text | For the following compounds, the correct statement(s) with respect to nucleophilic substitution reactions is(are) |
