Match the column :
Column-IColumn-II(i) If two curves y2 = 4a(x – b1) and x2 = 4a (y –b2), where a …

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Match the column :
Column-IColumn-II(i) If two curves y2 = 4a(x – b1) and x2 = 4a (y –b2), where a is a positive constant number and b1    and b2 are variables, touch each other then their point of contact lies on xy = ka2, where k is equal to[A] 2(ii) The point on the parabola y2 = 4x which is nearest to the circle x2 + (y – 12)2 = 1 has the ordinate equal to[Β] 4(iii) The intercept of the common tangent to the curves y2 = 8x and xy = –1 on the axis of y is s equal to[C] −2(iv) If three normals can be draw to the curve y2 = x from the point (c, 0) then c can be equal to[D] 1/4

CGP EDU Academic Team · Accepted Answer

The correct answer is (i) [B]; (ii) [B]; (iii) [A]; (iv) [A]. Ans.
(i) [B]
(ii) [B]
(iii) [A]
(iv) [A],[B]
Sol.
(i) 4
(ii) 4
(iii) 2
(iv) 2, 4

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Column-I	Column-II
(i) If two curves y2 = 4a(x – b1) and x2 = 4a (y –b2), where a is a positive constant number and b1 and b2 are variables, touch each other then their point of contact lies on xy = ka2, where k is equal to	[A] 2
(ii) The point on the parabola y2 = 4x which is nearest to the circle x2 + (y – 12)2 = 1 has the ordinate equal to	[Β] 4
(iii) The intercept of the common tangent to the curves y2 = 8x and xy = –1 on the axis of y is s equal to	[C] −2
(iv) If three normals can be draw to the curve y2 = x from the point (c, 0) then c can be equal to	[D] 1/4

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