Mathematics  XII Online Test: 2077/06/26
Instructions:
Please read the instructions carefully:
1. You are going to attempt Mathematics online test.
2. Total time of exam is 45 Minutes.
3. Total marks is 30.
4. Once started, you need to answer all the questions before submitting the test.
5. Click on ‘Test Summary’ at last to review your answer before finishing test.
6. When you finish test, you can have result instantly. You can review your answer after finishing the test. This means you will be able to view which question are correct and which are incorrect.
7. Good luck!!!
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 Answered
 Review

Question 1 of 30
1. Question
1 point(s)\lim_{x \to a} \frac{x^3a^3}{x^2a^2} =
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Question 2 of 30
2. Question
1 point(s)If x^2 + y^2 = a^2, then \frac{dy}{dx} =
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Question 3 of 30
3. Question
1 point(s)How many number plates of vehicles consisting of 4 different digits can be made out of integers 1,2,3,4,5,6?
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Question 4 of 30
4. Question
1 point(s)No. of ways in which 6 different beads can be arranged in a necklace is
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Question 5 of 30
5. Question
1 point(s)Direction of zero vector
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Question 6 of 30
6. Question
1 point(s)If the pair of lines ax^2+2hxy+by^2+2gx+2fy+c=0 intersect on yaxis, then
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Question 7 of 30
7. Question
1 point(s)If the angle between the lines represented by 2x^27xy+6y^24x6y+9=0 is tan^{1}(m) then m =
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Question 8 of 30
8. Question
1 point(s)\int{\frac{1}{x}sin(ln x)dx}=
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Question 9 of 30
9. Question
1 point(s)The function 2x^33x^212x+4 has
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Question 10 of 30
10. Question
1 point(s)The function f(x) = tanx – x
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Question 11 of 30
11. Question
1 point(s)Change (2+2\sqrt{3}i) into polar form.
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Question 12 of 30
12. Question
1 point(s)If Z_1 = 2 + i, Z_2 = 3 then 3Z_14Z_2 =
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Question 13 of 30
13. Question
1 point(s)The value of k for which the sum of the roots of the equation (k2)x^2+(k5)x5=0 is 3 is:
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Question 14 of 30
14. Question
1 point(s)The equation ax^2+bx+c=0 has real roots is:
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Question 15 of 30
15. Question
1 point(s)If a, b, c are in A.P., then 3^a, 3^b, 3^c are in
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Question 16 of 30
16. Question
1 point(s)Which of the following is not true in general?
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Question 17 of 30
17. Question
1 point(s)The relation R defined on the set A = {1,2,3} by R = {(1,1), (1,2), (2,2), (3,3). (2,3), (3,2)} is:
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Question 18 of 30
18. Question
1 point(s)A function f: A → B defined by f(x) = (x+3), where A = {0.1,2,3} and B = {3,4,5,6} is
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Question 19 of 30
19. Question
1 point(s)The value of logtan1^o+logtan2^o+……………….+logtan89^o =
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Question 20 of 30
20. Question
1 point(s)P (1,2) is any point and y^2 = 4x is the parabola. Then P lies
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Question 21 of 30
21. Question
1 point(s)The straight line y = 2x + \lambda does not meet the parabola y^2 = 2x if
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Question 22 of 30
22. Question
1 point(s)The length of latus rectum of the parabola y^2 = 4ax if the line 2x+3y = 1 touches it is
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Question 23 of 30
23. Question
1 point(s)The number of ways in which a student can select one or more questions out of 12 each having an alternative is:
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Question 24 of 30
24. Question
1 point(s)Among 14 players, 5 are bowlers. In how many ways a team of 11 may be formed with at least 4 bowlers?
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Question 25 of 30
25. Question
1 point(s)The distance between the directrices of the ellipse \frac{x^2}{36}+\frac{y^2}{20}=1 is
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Question 26 of 30
26. Question
1 point(s)The eccentricity of an ellipse whose minor axis is half the major axis is
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Question 27 of 30
27. Question
1 point(s)The centre of the ellipse 4x^2+y^28x+2y+1=0 is:
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Question 28 of 30
28. Question
1 point(s)If f(x) = x+2 then f’f(x) at x = 4 is
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Question 29 of 30
29. Question
1 point(s)The differential coefficient of a^x w.r. to x is
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Question 30 of 30
30. Question
1 point(s)The point of inflection of the function f(x) = x^36x^2+9x+15 is at:
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