For the circle C with the equation x2 + y2 - 16 - 12y + 64 =

Subject

Mathematics

Class

JEE Class 12

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 Multiple Choice QuestionsMatch The Following

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1.

For the circle C with the equation x2 + y2 - 16 - 12y + 64 = 0 match the List I with the List II given below.
  List I   List II
(i) The equation of the polar of (- 5, 1) with respect to  (A) y = 0
(ii) The equation of the tangent at (8, 0) to C (B) y = 6
(iii) The equation of the normal at (2, 6) to C (C) 13x + 5y = 98
(iv) The equation of the diameter of C through (8, 12) (D) 13x + 5y = 98
    (E) x = 6

The correct match is

A. (i) (ii) (iii) (iv) (i) (D) (B) (A) (E)
B. (i) (ii) (iii) (iv) (ii) (D) (A) (B) (E)
C. (i) (ii) (iii) (iv) (iii) (C) (D) (A) (B)
D. (i) (ii) (iii) (iv) (iv) (C) (E) (B) (A)


A.

(i) (ii) (iii) (iv)

(i)

B.

(i) (ii) (iii) (iv)

(ii)

C.

(i) (ii) (iii) (iv)

(iii)

D.

(i) (ii) (iii) (iv)

(iv)


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 Multiple Choice QuestionsMultiple Choice Questions

2.

If fx = p - xn1n, p > 0 and n is a positive integer, then ffx = ?

  • x

  • xn

  • p1/n

  • p - xn


3.

The value of x  R  loglog1.61 - x2 - 0.62561 + x  R is

  • - , - 1  7, 0

  • (- 1, 5)

  • (1, 7)

  • (- 1, 7)


4.

If  nCr - 1 = 330,  Crn = 462, and nCr + 1 = 462, then r = ?

  • 3

  • 4

  • 5

  • 6


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5.

10 men and 6 women are to be seated in a row so that no two women sit together. The number of ways they can be seated, is

  • 11! 10!

  • 11!6! 5!

  • 10! 9!5!

  • 11! 10!5!


6.

If tn denotes the number of triangles formed with n points in a plane, no three of which are collinear and if tn + 1 - tn= 36, then n is equal to

  • 7

  • 8

  • 9

  • 10


7.

The term independent of xx > 0, x  1 in the expansion of x + 1x23 - x13 + 1 - x - 1x - x10 is

  • 105

  • 210

  • 315

  • 420


8.

If x is small, so that x2 and higher powers can be neglected, then the approximate value for 1 - 2x - 11 - 3x - 21 - 4x - 3 is

  • 1 - 2x

  • 1 - 3x

  • 1 - 4x

  • 1 - 5x


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9.

If 1x4 + x2 + 1 = Ax +Bx2 + x +1  + Cx + Dx2 - x +1, then C + D = ?

  • - 1

  • 1

  • 2

  • 0


10.

12 . 3 + 14 . 5 + 16 . 7 + 18 . 9 + ...  = ?

  • log2e

  • loge2

  • log2e

  • e - 1


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