-1, 2
1, 2
2, 1
2, -1
Correct answer is D
\(2x^{-1} - 3y^{-1} = 4; 4x^{-1} + y^{-1} = 1\)
Let \(x^{-1}\) = a and \(y^{-1}\)= b
2a - 3b = 4 .......(i)
4a + b = 1 .........(ii)
(i) x 3 = 12a + 3b = 3........(iii)
2a - 3b = 4 ...........(i)
(i) + (iii) = 14a = 7
∴ a = \(\frac{7}{14}\) = \(\frac{1}{2}\)
From (i), 3b = 2a - 4
3b = 1 - 4
3b = -3
∴ b = -1
From substituting, \(2^{-1} = x^{-1}\)
∴ x = 2
\(y^{-1} = -1, y = -1\)
Solve the inequality 2x + 3 < 5x...
In the diagram above, TR = TS and ∠TRS = 60o. Find the value of x...
If the function f(fx) = x3 + 2x2 + qx - 6 is divisible by x + 1, find q...
The locus of a point equidistant from two intersecting lines is ...
Solve (\(\frac{27}{125}\))-\(\frac{1}{3}\) x (\(\frac{4}{9}\))\(\frac{1}{2}\)...
Find the quadratic equation whose roots are \(\frac{1}{2}\) and -\(\frac{1}{3}\) ...
If a = 3 and b = -7, find the value of \(\frac{5b+(a+b)^2}{(a-b)^2}\)...
In the diagram above, ∠SPR = P and ∠SQR = 2x. Find x in terms of P ...
If y = 8x\(^3\) - 3x\(^2\) + 7x - 1, find \(\frac{\mathrm d^2 y}{\mathrm d x^2}\)....