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 called?
Horizontal line = X - axis
Vertical line = Y - axis
In which quadrant does point (5, -4) lies?
Quadrant IV
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 the x-axis?
0
What is the coefficient of x in the expansion of (x + 3)³?
27
Solve: ( sqrt(5) - sqrt(2))2
7 - 2(sqrt (10))
What is the value of (1002)2 ?
1,004,004
Assertion: The point (-5,0) lies on the y-axis and (0, -4) on the x-axis.
Reason: Every point on the X-axis has zero distance from the X-axis and every point on the Y-axis has zero distance from the Y-axis.
Assertion is false, but reason is true.
Factorize: x² - 16
(x+4)(x-4)
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 irrational number.
Assertion is true and reason is false.
Write a binomial with degree 100.
x100 - 5
What is the distance of the point (16,20) from the x-axis?
20 units
If (x + 2) is a factor of x² + 3x + k, what is the value of k?
2
Represent 0.123333..... in p/q form.
37/300
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
If x + y = 12 and xy = 32, find the value of x² + y².
80