1
IIT-JEE 2011 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1

Let $$f:(0,1) \to R$$ be defined by $$f(x) = {{b - x} \over {1 - bx}}$$, where be is a constant such that $$0 < b < 1$$. Then

A
f is not invertible on (0, 1).
B
f $$\ne$$ f$$-$$1 on (0, 1) and $$f'(b) = {1 \over {f'(0)}}$$.
C
f = f$$-$$1 on (0, 1) and $$f'(b) = {1 \over {f'(0)}}$$.
D
f$$-$$1 is differentiable on (0, 1).
2
IIT-JEE 2011 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1

Let L be a normal to the parabola y2 = 4x. If L passes through the point (9, 6), then L is given by

A
y $$-$$ x + 3 = 0
B
y + 3x $$-$$ 33 = 0
C
y + x $$-$$ 15 = 0
D
7 $$-$$ 2x + 12 = 0
3
IIT-JEE 2011 Paper 2 Offline
Numerical
+3
-1

Let M be a 3 $$\times$$ 3 matrix satisfying $$M\left[ {\matrix{ 0 \cr 1 \cr 0 \cr } } \right] = \left[ {\matrix{ { - 1} \cr 2 \cr 3 \cr } } \right]$$, $$M\left[ {\matrix{ 1 \cr { - 1} \cr 0 \cr } } \right] = \left[ {\matrix{ 1 \cr 1 \cr { - 1} \cr } } \right]$$ and $$M\left[ {\matrix{ 1 \cr 1 \cr 1 \cr } } \right] = \left[ {\matrix{ 0 \cr 0 \cr {12} \cr } } \right]$$. Then the sum of the diagonal entries of M is ___________.

Your input ____
4
IIT-JEE 2011 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

Match the statements given in Column I with the intervals/union of intervals given in Column II :

IIT-JEE 2011 Paper 2 Offline Mathematics - Functions Question 4 English

A
(A) $$\to$$ (S), (B) $$\to$$ (T), (C) $$\to$$ (P), (D) $$\to$$ (Q)
B
(A) $$\to$$ (S), (B) $$\to$$ (T), (C) $$\to$$ (R), (D) $$\to$$ (P)
C
(A) $$\to$$ (S), (B) $$\to$$ (T), (C) $$\to$$ (R), (D) $$\to$$ (R)
D
(A) $$\to$$ (P), (B) $$\to$$ (Q), (C) $$\to$$ (R), (D) $$\to$$ (R)
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