Assignment Details

Report

Algebra

14420 minutes

May 20, 11:40 PM

40.0 marks

MCQ

20 questions

NIRANJAN SAHA

M.Sc. mathematics

Class Details

Mathematics

Physics

Ix-xii

Mathematics

Physics

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Question Text

Question 1 :
When x3 – 3x2 + 5x – 7 is divided by x – 2,then the remainder is

Question 2 :
Which term of the A.P. 21, 42, 63, 84,… is 210?

Question 3 :
If {tex}P\left( \frac { a }{ 3 } ,4 \right) {/tex} segment joining the points Q (-6, 5) and R (-2, 3), then the value of a is

Question 4 :
If the first term of an A.P. is -5 and the common difference is 2, then the sum of its first 6 terms is

Question 5 :
If A = {tex}\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix} {/tex} , then A² =

Question 6 :
If {tex}\begin{bmatrix} x+2y & 3y \\ 4x & 2 \end{bmatrix}=\begin{bmatrix} 0 & -3 \\ 8 & 2 \end{bmatrix} {/tex} then the value of x – y is

Question 7 :
The roots of the equation x2 – 3x – 10 = 0 are

Question 8 :
The slope of the line passing through the points (3, -2) and (3, -4) is

Question 9 :
If one root of a quadratic equation with rational coefficients is {tex}\frac { 3-\sqrt { 5 } }{ 2 } {/tex}, then the other

Question 10 :
The third proportional to {tex}6 \frac { 1 }{ 4 } {/tex} and 5 is

Question 11 :
If x ∈ R, the solution set of 6 ≤ – 3 (2x – 4) < 12 is

Question 13 :
The 4th term from the end of the A.P. -11, -8, -5, …, 49 is

Question 14 :
If the lines 2x + 3y = 5 and kx – 6y = 7 are parallel, then the value of k is

Question 15 :
The centroid of the triangle whose vertices are (3, -7), (-8, 6) and (5, 10) is

Question 17 :
If 2 3 is the zero of the polynomial f ( x ) = 6 x2 + kx + 10 , find k

Question 18 :
73 is divided into two parts such that the sum of their reciprocals is 73/ 1326 . Find the two parts

Question 19 :
A stream flows from A to B, a distance of 13.00 km. A man who can row in still water at 9.00 kmph, can row up and down in 3.60 hrs . What is the speed of the stream?

Question 20 :
The denominator of a fraction exceeds the numerator by 5 . The square of the fraction is equal to $\frac{361}{ 576}$ . Find the fraction

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