When writing equivalent expressions, there are often several possible orders in which to simplify them. However, they will all take you to the same result as long as you do not make a mistake when using the properties. In this example, you will distribute the outer exponent first using the Power of a Product Property.
Since ∆AFB is similar to ∆ABC.
- < F = < B (corresponding angle)
- < G = < C (corresponding angle)
- < A = common.
<u>In </u><u>∆</u><u>A</u><u>BC,</u>
⇛< A + < B + < C = 180°
⇛37° + 65° + < C = 180°
⇛102° + < C = 180°
⇛< C = 78°
We know that, < AGF / < G = < C
So, Measure of angle < AGF = <u>7</u><u>8</u><u>°</u><u> </u><u>(</u><u>ans)</u>
Should be 67 or 113 if not then it’s probably 157
18. If f(x)=[xsin πx] {where [x] denotes greatest integer function}, then f(x) is:
since x denotes the greatest integers which could the negative or the positive values, also x has a domain of all real numbers, and has no discontinuous point, then x is continuous in (-1,0).
Answer: B]
20. Given that g(x)=1/(x^2+x-1) and f(x)=1/(x-3), then to evaluate the discontinuous point in g(f(x)) we consider the denominator of g(x) and f(x). g(x) has no discontinuous point while f(x) is continuous at all points but x=3. Hence we shall say that g(f(x)) will also be discontinuous at x=3. Hence the answer is:
C] 3
21. Given that f(x)=[tan² x] where [.] is greatest integer function, from this we can see that tan x is continuous at all points apart from the point 180x+90, where x=0,1,2,3....
This implies that since some points are not continuous, then the limit does not exist.
Answer is:
A]
3.1 as a decimal. And it as a mixed number wait a sec.......3 1/10
Hope I could help! :)
