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Step I:
Factor of f(x) and g(x..
Step III:
Substitute x = a and obtain the limit..
Step 2:
In case of inequation < or >, draw the line dotted otherwise draw the line thick. This line divides the plane into two equal part..
Step 1:
Divide by 'a' throughou..
Divide by 'a' throughou..Step 2:
4a 2 x 2 + 4abx = -4ac [Transposing 4ac to R..
Step 4:
(2ax) 2 + 2(2ax)b +b 2 = b 2 - 4ac [Adding b 2 to both sides (square of the coefficient of x..
Function Solved Examples
Reasons: (i) (0, 5), (0, 1) pairs make it one - many, one - many is not a function. (ii) Pre-image 2 does not have an image in B. It becomes easy to discuss a function with the help of an arrow diagram. Given A = {-2, -1, 0, 1, 2} and B = {-3, -1, 1, 5}. list the elements of S = {(x, y): ..
Reasons: (i) (0, 5), (0, 1) pairs make it one - many, one - many is not a function. (ii) Pre-image 2 does not have an image in B. It becomes easy to discuss a function with the help of an arrow diagram. Given A = {-2, -1, 0, 1, 2} and B = {-3, -1, 1, 5}. list the elements of S = {(x, y): ..Problems on Simultaneous Equations
The present age of the man is 30 years and the present age of his son is 6 years. The sum of the digits of a two digit number is 7. If the digits are reversed, the new number increased by 3 equals four times the original number. Find the original number. Let ten's digit be x and unit's digit be y. ..
The present age of the man is 30 years and the present age of his son is 6 years. The sum of the digits of a two digit number is 7. If the digits are reversed, the new number increased by 3 equals four times the original number. Find the original number. Let ten's digit be x and unit's digit be y. ..Factorization Summary
Summary - If all the terms of the polynomial have a common factor, we take out the common factor and factorise . If all the terms of the polynomial have a common factor, we take out the common factor and factorise . If the polynomial can be expressed as the difference of two squares, we use a 2 - b..
Summary - If all the terms of the polynomial have a common factor, we take out the common factor and factorise . If all the terms of the polynomial have a common factor, we take out the common factor and factorise . If the polynomial can be expressed as the difference of two squares, we use a 2 - b.. Result
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