Higher Math 2nd Paper MCQ-Jessore Board-2017

1. If the shaded area is the feasible region of a linear program, what are the conditions?

2. In the expansion of $(1+3 x)^{17}-$

i. number of terms is 18

ii. there are two middle terms

iii. co-efficient of $x^{6}$ is ${ }^{17} \mathrm{C}_{6} .3^{6}$

Which one is correct?

3. $5 x^{2}+7 y^{2}=1$

What is the eccentricity of the ellipse?

4. What is the value of $\sec ^{-1}\left(\frac{25}{24}\right)+$ $\sin ^{-1}\left(\frac{24}{25}\right) ?$

5. $5 x^{2}+7 y^{2}=1$

What is the length of the major axis of the ellipse?