Question

Solution

Correct option is

4x = 9y2 – 12y + 8 be the end points of chord AB.

Also let M ≡ (x1y1) be a point which divides AB internally in ratio 1: 2.

It is given that slope of PQ = 2.  As M divides PQ in 1 : 2 ratio, we get:  we have t eliminate two variables t1 and t2 between (i), (ii) and (iii).

From (i), put t2 = 1 – tin (iii) to get: On substituting the values of t1 and t2 in (ii), we get: Replacing x1 by x and y, we get the required locus as:

4x = 9y2 – 12y + 8

SIMILAR QUESTIONS

Q1

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Q2

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Q3

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Q5

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Q6

A cylindrical gas container is closed at the top and open at the bottom; if the iron plate forming the cylindrical sides. The ratio of the height to diameter of the diameter of the cylindrical using minimum material for the same capacity is

Q7

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Find the abscissa of the point on the curve ay2 = x3, the normal at which cuts of equal intercept from the axes.

Q9

Find the condition that the curves; ax2 + by2 = 1 and a ‘x2 + b’ y2 = 1 may cut each other orthogonally (at right angles).

Q10

Find the acute angle between the curves  at their points of intersection when x > 0.