CDS I 2016 Elementary Mathematics Previous Year Paper (14-Feb-2016)

Question 1

If the roots of the equation lx 2 + mx + m = 0 are in the ratio p &ratio; q, then  $\sqrt {\frac{p}{q}} + \sqrt {\frac{q}{p}} {\rm{\;}} + \sqrt {\frac{m}{l}} $  is equal to

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 2

If $\rm\sqrt{3 x^2-7 x-30}-\sqrt{2 x^2-7 x-5}$  = x &minus; 5 has &alpha; and &beta; as its roots, then the value of &alpha;&beta; is

Accepted Answer

&minus;15

Answer

&minus;5

Answer

0

Answer

5

Question 3

If $\rm\frac{p}{x}+\frac{q}{y}$  = m and  $\rm\frac{q}{x}+\frac{p}{y}$  = n, then what is  $\rm\frac{x}{y}$ equal to?

Accepted Answer

$\rm\frac{n p&minus;m q}{m p&minus;n q}$

Answer

$\rm\frac{n p+m q}{m p+n q}$

Answer

$\rm\frac{n p+m q}{m p&minus;n q}$

Answer

$\rm\frac{n p&minus;m q}{m p+n q}$

Question 4

If a 2 &minus; by &minus; cz = 0, ax &minus; b 2  + cz = 0 and ax+ by &minus; c 2  = 0, then what is the value of  $\rm\frac{x}{a+x}+\frac{y}{b+y}+\frac{z}{c+z}$  will be

Accepted Answer

1

Answer

a + b + c

Answer

3

Answer

0

Question 5

If the equations x 2 &minus; px + q = 0 and x 2  + qx &minus; p = 0 have a common root, then which one of the following is correct?

Accepted Answer

p &minus; q &minus; 1 = 0

Answer

p &minus; q = 0

Answer

p + q &minus; 2 = 0

Answer

p + q &minus; 1 = 0

CDS I 2016 Elementary Mathematics Previous Year Paper (14-Feb-2016)

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