Mathematics - Class 11 Mock Test 8

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Question 1 of 10

1. Find the focus of parabola with equation x²=-100y.

(-25, 0)

(25, 0)

(0, -25)

(0, 25)

Question 1 of 10

Question 2 of 10

2. Which of the following limits does not yield 1?

\(\lim\limits_{x \rightarrow \infty}\frac{x^3+x^2+32x+1}{x^2–3x+2}\)

\(\lim\limits_{x \rightarrow \infty}\)x^-2 + x^-1 + 1

\(\lim\limits_{x \rightarrow 0}\)⁡ 1

\(\lim\limits_{x \rightarrow \infty}\frac{1}{e^x}\) + 1

Question 2 of 10

Question 3 of 10

3. Find the vertex of the parabola y²=4ax.

(4, 0)

(0, 4)

(0, -4)

(0, 0)

Question 3 of 10

Question 4 of 10

4. What is length of latus rectum for ellipse \((\frac{x}{25})^2+(\frac{y}{16})^2\)=1?

5/32

25/2

8/5

32/5

Question 4 of 10

Question 5 of 10

5. The points A (1, 2, -1), B (5, -2, 1), C (8, -7, 4), D (4, -3, 2) form_____________

square

trapezium

parallelogram

rhombus

Question 5 of 10

Question 6 of 10

6. What is the value of \(\lim\limits_{y \rightarrow \infty} \frac{2}{y}\)?

Infinity

Question 6 of 10

Question 7 of 10

7. What is the value of the limit f(x) = \(\frac{x^2+\sqrt {2x}}{x^2-4x}\) if x approaches infinity?

1/2

Question 7 of 10

Question 8 of 10

8. Find the length of latus rectum of the parabola y²=40x.

10 units

4 units

80 units

40 units

Question 8 of 10

Question 9 of 10

9. Find the coordinates of foci of ellipse \((\frac{x}{25})^2+(\frac{y}{16})^2\)=1.

(0,±4)

(0,±3)

(±3,0)

(±4,0)

Question 9 of 10

Question 10 of 10

10. What is eccentricity for \((\frac{x}{9})^2-(\frac{y}{16})^2\)=1?

2/5

5/3

3/5

Question 10 of 10