WBJEE 2018 Question Paper with Answer Key PDFs

1.

A rectangle ABCD has its side parallel to the line y=2x and vertices A,B,D are on y=1,x=1 and x=-1 respectively. The coordinate of C can be

2.

\(\lim_{x\rightarrow \infty}\){\(x-\sqrt[n]{(x-a_1)(x-a_2)......(x-a_n)}\)} where a₁,a₂,.....a_n are positive rational numbers.The limit

• does not exist 
• is \(\frac{a_1+a_2+....+a_n}{n}\)

• is \(\sqrt[n]{a_1a_2.....a_n}\)
• is \(\frac{n}{a_1+a_2+....+a_n}\)

3.

In an experiment on a circuit, as shown in the figure, the voltmeter shows 8V reading. The resistance of the voltmeter is 

• 20Ω
• 320Ω
• 160Ω
• 1.44kΩ

4.

The value of 'a' for which the scaler triple product formed by the vectors \(\vec\alpha=\hat{i}+a\hat{j}+\hat{k}\),  \(\vec{\beta}=\hat{j}+a\hat{k}\)  and  \(\vec{\gamma}=a\hat{i}+\hat{k}\)  is maximum, is

• 3
• -3
• \(\frac{1}{\sqrt3}\)
• \(-\frac{1}{\sqrt3}\)

5.

A missile is fired from the ground level rises x meters vertically upwards in t sec, where \(x=100t-\frac{25}{2}t^2\). the maximum height reached is

• 100m
• 300m
• 200m
• 125m