1
GATE EE 2021
MCQ (Single Correct Answer)
+1
-0.33
Let $f(x)$ be a real-valued function such that $f^{\prime}\left(x_0\right)=0$ for some $x_0 \in(0,1)$ and $f^{\prime \prime}\left(x_0\right)>0$ for all $x \in(0,1)$. Then $f(x)$ has
2
GATE EE 2021
Numerical
+1
-0
Suppose the circles $x^2+y^2=1$ and $(x-1)^2+(y-1)^2=r^2$ intersect each other orthogonally at the point $(u, v)$. Then $u+v=$ $\_\_\_\_$ .
Your input ____
3
GATE EE 2017 Set 2
Numerical
+1
-0
Consider a function $$f\left( {x,y,z} \right)$$ given by $$f\left( {x,y,z} \right) = \left( {{x^2} + {y^2} - 2{z^2}} \right)\left( {{y^2} + {z^2}} \right).$$ The partial derivative of this function with respect to $$x$$ at the point $$x=2, y=1$$ and $$z=3$$ is _______.
Your input ____
4
GATE EE 2017 Set 2
Numerical
+1
-0
Let $$x$$ and $$y$$ be integers satisfying the following equations
$$$2{x^2} + {y^2} = 34$$$
$$$x + 2y = 11$$$
The value of $$(x+y)$$ is _________.
The value of $$(x+y)$$ is _________.
Your input ____
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