Page 13 - ECAT Past Paper 2006

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A) arc of circle B) Center of Circle
C) Chord of Circle (Correct) D) Radius of Circle
Explanation:- The only one whose endpoints lie on circle is Chord of Circle.

Q.57 Foci of hyperbola − = are:

A) (±a,0) B) (0,±ae)
C) (0,±a) D) (±ae,0) (Correct)
Explanation:
1) Foci of hyperbola 2 − 2 = 1 are as (±c,0) also e=c/a  ae=c (±ae,0)
2 2
(Answer).
2) Foci of hyperbola 2 − 2 = 1 are as (0,±c) also e=c/a  ae=c (0,±ae).
2 2
Q.58 The length of minor axis of an ellipse is
A) 2a B) a
C) c/a D) 2b (Correct)
Explanation:
1) The length of minor axis of an ellipse is 2b (Answer).
2) The length of major axis of an ellipse is 2a.
Q.59 2x+3<0 is an
A) inequality (Correct) B) equality
C) Identity D) None of these
Explanation:
> , < , ≥ and ≤ are shown that notation is inequality.
Q.60 The projection of -2i+3j+7k on 2j+k is
A) 13/5 B) 13/√5 (Correct)
C) 13/4 D) 13
Explanation:
As we know that
Let: u and v be two vector then;
Projection of a on b= .
| |
Here b=2j+k and a=-2i+3j+7k
|b|=√(0) + (2) + (1) = √5
2
2
2
a. b=(-2i+3j+7k)(2j+k)=13
13
Projection of a on b= (Answer)
√5
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CHEMISTRY
Q.61 1 mole of C2H5OH contains number of oxygen atoms;
23
24
A) 6.022×10 B) 3.61×10
24
24
C) 1.81×10 D) 6.022×10
Q.62 In chromatography the “k” stands for;
A) Rate B) Rate law
C) Distribution co-efficient D) None
Q.63 Most ideal gas at room temperature is;