ISRO Scientist or Engineer Electronics 2006

Instructions

For the following questions answer them individually

Question 61

Solution of $$(D^2 + 4)y = \sin^2 x$$, is

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Question 62

The value of k for which the lines $$2x + y - 1 = 0, 4x + 3y - 3 = 0$$ and $$3x + ky - 2 = 0$$, are concurrent is

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Question 63

A box contains 5 black and 5 red balls. Two balls are-randomly picked one after another from the box, without replacement. The probability for both balls being red is

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Question 64

$$x^3 + x \sin x$$ is

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Question 65

$$\int \frac{dx}{x \sqrt{x^2 - a^2}}$$ is

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Question 66

Eigen values of $$\begin{bmatrix}-5 & 2 \\2 & -2 \end{bmatrix}$$ are

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Question 67

The approximate equivalent resistance at the points $$X_1$$ and $$X_2$$ in the circuit shown below

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Question 68

An inductor supplied with 50 V ac with a frequency of 10 kHz passes a current of 7.96 mA. The value of inductor is

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Question 69

Ina capacitor, the electric charge is stored in

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Question 70

Oscillator requires

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