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Unformatted text preview: between two parallel chords of lengths 32 cm and 24 cm in a circle of radius 20
cm ? ra h u l n e m a
re fre sh a. 1 or 7
b . 2 o r 14
c. 3 o r 2 1
d . 4 o r 28
e .No t Atte mp te d 10. For which value of k does the following pair of equations yield a unique s olution for x s uch that the s olution
is pos itive? x2 - y2 = 0
(x - k)2 + y2 = 1
d . -√2
e .No t Atte mp te d SECTION I Sub-Se ction I-B Number of Questions : 20
Note: Questions 11 to 30 carry tw o marks each.
Directions for Questions 11 to 30: Ans wer the ques tions independently of each other.
11. Let n! = 1 x 2 x 3 x ... x n for integer n π 1. If p = 1! (2 x 2!) + (3 x 3!) + . . . + (10 x 10!), then p + 2 when divided by
11! leaves a rem ainder of
a . 10
e .No t Atte mp te d 12. Cons ider a triangle drawn on the X-Y plane with its three vertices at (41, 0), (0, 41) and (0, 0), each vertex
being repres ented by its (X, Y) coordinates . The num ber of points with integer coordinates ins ide the triangle
(excluding all the points on the boundary) is
a . 780
b . 800
c. 8 2 0
d . 741
e .No t Atte mp te d 13. The digits of a three-digit num ber A are written in the revers e order to form another three-digit num ber B. If B
> A and B-A is perfectly divis ible by 7, then which of the following is neces s arily true?
a . 100 < A < 299
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This document was uploaded on 03/23/2014.
- Summer '14