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Posted by Sahil Bhadoria 6 years, 4 months ago
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Sia ? 6 years, 4 months ago
Let the number of right answers and wrong answers be x and y respectively.
According to the question,
{tex}3x - y = 40{/tex} ...(i)
{tex}4x - 2y = 50{/tex}
{tex}\Rightarrow{/tex} {tex}2x - y = 25{/tex} ...(ii)
Subtracting equation (ii) from equation (i), we obtain:
{tex}x = 15{/tex}
Substituting the value of x in equation (ii), we obtain:
{tex}30 - y = 25{/tex}
{tex}y = 5{/tex}
Thus, the number of right answers and the number of wrong answers is 15 and 5 respectively. Therefore the total number of questions is 20.
Posted by Sahil Bhadoria 7 years, 7 months ago
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Sia ? 6 years, 4 months ago
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Sia ? 6 years, 4 months ago
f(x) =4x2- 8kx + 8x - 9
= 4x2+ (8- 8k)x - 9
Let one zero = {tex}\alpha{/tex}
{tex}\therefore{/tex}other zero = -{tex}\alpha{/tex}[A.T.Q.]
Now Sum of zeroes ={tex}\frac { - b } { a }{/tex}
{tex}\Rightarrow \quad \alpha + ( - \alpha ) = \frac { - ( 8 - 8 k ) } { 4 }{/tex}{tex}\Rightarrow 0 = \frac { - 8 + 8 k } { 4 }{/tex}
{tex}\Rightarrow{/tex}-8 + 8k = 0 {tex}\Rightarrow{/tex}k = 1
Polynomial p(x) = kx2 + 3kx + 2
becomes p(x) ={tex}1 \times x ^ { 2 } + 3 \times x + 2{/tex} [Using k = 1]
= x2 + 3x + 2
For zeroes of p(x),x2 + 3x + 2 = 0
{tex}\Rightarrow{/tex} (x + 2)(x + 1) = 0
{tex}\Rightarrow{/tex} x = - 2,x = - 1
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