AP EAMCET · Maths · Functions
\(\begin{aligned} & f(x, y)=2(x-y)^2-x^4-y^4 \\ & \left|\left(f_{x x} f_{y y}-f_{x y}^2\right)\right|_{(0,0)}\end{aligned}\)
- A \(32\)
- B \(16\)
- C \(0\)
- D \(-1\)
Answer & Solution
Correct Answer
(C) \(0\)
Step-by-step Solution
Detailed explanation
Given that, \[ f(x, y)=2(x-y)^2-x^4-y^4, \text { we get } \] On differentiating partially w.r.t. \(x\), \[ f_x=4(x-y)-4 x^3 \] Again differentiating partially, we get…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- \(\int_{-\pi}^\pi \frac{x \sin x}{1+\cos ^2 x} d x=\)AP EAMCET 2024 Medium
- For how many values \(a \in \mathbf{C}\), the equations \(x^2-8 x+7=0\) and \(x^2-2 a x+49=0\) have a common root?AP EAMCET 2020 Easy
- The equation of tangent to the circle \(x^2+y^2=1\), which is perpendicular to the line \(y=m x+1\); isAP EAMCET 2022 Medium
- If \(z=1+\cos \theta-i \sin \theta\) and \(0 < \theta < \pi\), then \(\left[|z-1|^2-\frac{|z|^2}{4}\right]^{1 / 2}=\)AP EAMCET 2023 Easy
- If \(A=\left[\begin{array}{ll}1 & 0 \\ 2 & 1\end{array}\right], B=\left[\begin{array}{ll}1 & 3 \\ 0 & 1\end{array}\right]\), then \(\operatorname{det}\left(A^6+B^6\right)=\)AP EAMCET 2022 Medium
- If a polygon of sides has diagonals, thenAP EAMCET 2022 Easy
More PYQs from AP EAMCET
- A car covers a distance at speed of . It returns and comes back to the original point moving at a speed of . If the average speed for the round trip is , then the magnitude of isAP EAMCET 2022 Easy
- Two small spheres each having equal positive charge \(Q\) (Coulomb) on each are suspended by two insulating strings of equal length \(L\) (metre) from a rigid hook (shown in figure). The whole set up is taken into satellite where there is no gravity. The two balls are now held by electrostatic forces in horizontal position, the tension in each string is then
AP EAMCET 2012 Medium - A circle passes through the point \((3,4)\) and cuts the circle \(x^2+y^2=a^2\) orthogonally; the locus of its centre is a straight line. If the distance of this straight line from the origin is 25 , then \(a^2\) is equal toAP EAMCET 2012 Medium
- \(\left|\begin{array}{ccc}
a+b+2 c & a & b \\
c & b+c+2 a & b \\
c & a & c+a+2 b
\end{array}\right|=\)AP EAMCET 2024 Easy - If \(\int_3^5 \sqrt{8 x-x^2-15} d x=p\), then \(\sin p+\operatorname{cosec} p=\)AP EAMCET 2017 Medium
- Solve:AP EAMCET 2020 Easy