If x^a y^b=e^m, x^c y^d=e^n, ∆_1=\left|\begin{array}{cc}m & b \ n & d|\end{array}, ∆_2=\left|\begin{array}{cc}a & m \ c & n|\end{array}, ∆_3=\left|\begin{array}{cc}a & b \ c & d|\end{array}, then the values of x and y are respectively (e is the base of natural logarithm) [AP EAPCET 27 May 2025 S1]

Correct Answer is : e∆1∆3 and e∆2∆3

\frac{∆_1}{∆_3} \text{ and } \frac{∆_2}{∆_3}

\frac{∆_2}{∆_1} \text{ and } \frac{∆_3}{∆_1}

\log (\frac{∆_1}{∆_3}) and \log (\frac{∆_2}{∆_3})

{\e}^{\frac{∆_1}{∆_3}} and {\e}^{\frac{∆_2}{∆_3}}

AP EAPCET 27 May 2025 Shift 1 Paper

Section: Mathematics

Question : 6 of 160

Marks: +1, -0

If xayb=em,xcyd=en,∆1=|

m	b
n	d

|,∆2=|

a	m
c	n

|,∆3=|

a	b
c	d

|, then the values of x and y are respectively (e is the base of natural logarithm)

[AP EAPCET 27 May 2025 S1]

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