22. If z is a complex number in the Argand plane, then the equation represents

Ans. Ellipse

23. Let be a complex number with and be any complex number, then

Ans. 1

24. is homogenous function of degree

Ans. -1

25. The order of differential equations of all parabolas having directrix parallel to x-axis is

Ans. 3

26. The degree of the differential equation is

Ans. 2

27. India plays two ODI matches each with Australia and Pakistan. The probability of India getting points 0, 1, 2 are 0.45, 0.05, 0.50 Find the probability of India getting at least 7 points in the series

Ans. 0. 0875

28. A person puts three cards addressed to three different people in three envelopes either three different addresses without looking. What is the probability that the cards go into their respective envelopes?

Ans. 1/6

29. Give the binary equivalent of octal number

Ans.

30.

Ans.

31. If . Then will be

Ans.

32. The point intersection of and , where and is

Ans.

33. If is a continuous function at x = 0, then the value of a =

Ans. 3

34. Find the area bounded by and y = 0.

Ans.

35. If & , then

a) P - Q = 0 b) P - 2Q = 0

c) P - 3Q = 0 d) P - 5Q = 0

Ans. P - 3Q = 0

36. If are three collinear points in Argand plane, then

Ans. 0

37. If z = y + f(v), where , then is

Ans. 1

38. The sum of amplitude of z and another complex number is . The other complex number can be written as

a) b)

c) z d) -z

Ans.

39. The triangle formed by and x = 4 is

Ans. Equilateral.

40. If , then axis of parabola is

Ans. x + 3 = 0

41. is a perfect square for how many values of k?

Ans. Two.

42. If the chord of contact of tangents from a point on the circle to be circle touches the circle . then are in

Ans. G.P.

43. Out of the following which one is not true?

a) b)

c) d)

Ans.