CLASS-IX MOCK TEST (06-08-2021)

CLASS-IX MOCK TEST (06-08-2021)

Assessment

Assessment

Created by

RAGHAVENDRAN R

Mathematics, English

9th - 12th Grade

1 plays

Hard

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19 questions

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1.

Multiple Choice

30 sec

1 pt

The expansion of (x + y)n where x and y any two real numbers and n is any positive integer, maybe stated as follows

nC0 xn - nC1 xn-1 y + nC2 xn-2 y2 - nC3 xn-3 y3 … + nCn yn

nC0 xn + nC1 xn-2 y + nC2 xn-1 y2 + nC3 xn-3 y3 … + nCn yn

nC0 xn + nC1 xn-1 y + nC2 xn-2 y2 + nC3 xn-3 y3 … (-1)n yn

nC0 xn + nC1 xn-1 y + nC2 xn-2 y2 + nC3 xn-3 y3 … + nCn yn

2.

Multiple Choice

30 sec

1 pt

The expansion of (x - y)n where x and y any two real numbers and n is any positive integer, maybe stated as follows

nC0 xn - nC1 xn-1 y + nC2 xn-2 y2 - nC3 xn-3 y3 … + nCn yn

nC0 xn - nC1 xn-1 y + nC2 xn-2 y2 - nC3 xn-3 y3 … (-1)n ncn x0 yn

nC0 xn - nC1 xn-1 y + nC2 xn-2 y2 + nC3 xn-3 y3 … (-1)n yn

nC0 xn + nC1 xn-1 y + nC2 xn-2 y2 + nC3 xn-3 y3 … + nCn yn

3.

Multiple Choice

30 sec

1 pt

The total number of terms that comes in the expansion of (x+y)n is

n

n-1

n+1

none of thse

4.

Multiple Choice

30 sec

1 pt

Tr + 1 =

nCr xn-r . yr

xn-r . yr

nC0 xn + nC1 xn-1 . y + nC2 xn-2 . y2 + … + nCn yn

nC0 xn - nC1 xn-1 . y + nC2 xn-2. y2 + … + nCn yn

5.

Multiple Choice

30 sec

1 pt

The middle term in  (x+y)n\left(x+y\right)^n  is

 

 \frac{n}{2}+1 where n is odd

   n+12 where n is even\frac{n+1}{2}\ where\ n\ is\ even 

 n2+ 1 where n is even\frac{n}{2}+\ 1\ where\ n\ is\ even 

both 1 & 2

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