Number Systems
Decimal representation of an irrational number is
(a) Only non-terminating
(b) non-terminating and recurring
(c) non-terminating and non-recurring
(d) none of these
option (c)
What is the degree of 3x4 + 6x + 7?
4
What are the horizontal and vertical lines drawn in the cartesian plane to determine the position of a point calles as ?
Horizontal line = X - axis
Vertical line = Y - axis
Which of the following statements is true:
(a) Product of two irrational numbers is always irrational.
(b) Product of a rational and an irrational number is always irrational.
(c) Sum of two irrational numbers can never be irrational.
(d) Sum of an integer and a rational number can never be an integer.
Option (b)
Degree of the polynomial p(x) = (x+2) (x-2) is:
2
What is the ordinate of any point on x-axis.
0
Solve: ( sqrt(5) - sqrt(2))2
7 - 2(sqrt (10))
What is the value of (112)2 ?
12544
Assertion: The point (-5,0) lies on y-axis and (0, -4) on x-axis.
Reason: Every point on the X-axis has zero distance from X-axis and every point on the Y-axis has zero distance from the Y-axis.
Assertion is false, but reason is true.
Assertion: 0.271 is a terminating decimal and we can express this number as 271/1000 which is of the form p/q, where p and q are integers and q is not equal to zero.
Reason: A terminating or non-terminating decimal expansion can be expressed as a rational number.
Assertion is true and reason is false.
Write down a binomial with degree 100.
x100 - 5
What is the distance of the point (16,20) from x-axis?
20 units
Represent 0.123333..... in p/q form.
111/900
Factorise 12x2 - 7x + 1.
(3x - 1) (4x - 1)
If the coordinates of two points are A(3,4) and B(-2,-1), then find 4(abscissa of A) - 3(ordinate of B).
15