11.The product of 4mn and 0 is
a) 4mn b) mn c) 1 d) 0
12. The expression 4pq + 7 is
a) monomial b) binomial c) trinomial d) none of these
13. How many terms are there in the expression 4a –7ab+5b +6
a) 1 b) 2 c) 3 d) 4
Answers
Answer:
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Step-by-step explanation:
If a, b, c, d be four consecutive coefficient in the binomial expansion of (1+x)
n
, then value of the expression
[[
b+c
b
]
2
−
(a+b)(c+d)
ac
](wherex>0andn∈N) is
Q2
A(1,0,4),B(0,−11,13),C(2,−3,1) are three points and D is the foot of the perpendicular from A on BC. Find coordinates of D.
Q3
Show that ABCD is a square where A,B,C,D are the points (0,4,1),(2,3,−1),(4,5,0) and (2,6,2) respectively.
Q4
Refer to the Carnot cycle of an ideal gas shown in the figure Let W
a→b
,W
b→c
,W
c→d
and W
d→a
represent the work done by the system during the processes a→b,b→c,c→d and d→a respectively. Consider the following relations
(1) W
a→b
+W
b→c
+W
c→d
+W
d→a
>0
(2) W
a→b
+W
b→c
+W
c→d
+W
d→a
<0
(3) W
a→b
+W
c→d
>0
(4) W
b→c
+W
d→a
=0
Which of the above relation is/are true
Q5
Answer:
11. (d) 0
12.(b) bionomial
13. (d) 4