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Q.

If Question Image


Question Image

Question Image

Find (i) Question Image (ii) Question Image (ii) .


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a

22x2+12y12+xy,-14x2-10y2-20xy

b

23x2+12y12+xy,-17x2-10y2-20xy

c

24x2+12y12+xy,-15x2-10y2-20xy

d

26x2+12y12+xy,-13x2-10y2-20xy 

answer is A.

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Detailed Solution

Concept- Each letter's value is presented in the form of a quadratic equation here. We will replace all of the values in the expression and conduct the specified operation. In the first section, we will sum all of the numbers and calculate the result. In the second portion, we will remove the terms in the brackets first, then the value of C from the resultant term.
i. Question ImageHere, substituting the values of A, B and Question Image from the question, we get,
Question ImageNow, adding the coefficients of same variables, we get,
Question ImageQuestion ImageTherefore, Question Imageii. Question ImageSubstituting the values of A, B and Question Image from the question, we get,
Question ImageNow, first we would solve Question Image as they are in the brackets.
Question ImageNow, solving further, we get,
Question Image(While opening the second bracket, all the positive sign changes to negative due to a outside negative sign)
Question ImageQuestion ImageSo,
Question ImageHence, the correct option is 1.
 
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