GATE ME 2010 | Calculus Question 37 | Engineering Mathematics

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GATE ME 2010

MCQ (Single Correct Answer)

-0.3

The function $$y = \left| {2 - 3x} \right|$$

is continuous $$\forall x \in R$$ and differentiable $$\forall x \in R$$

is continuous $$\forall x \in R$$ and differentiable $$\forall x \in R$$ except at $$x = {3 \over 2}$$

is continuous $$\forall x \in R$$ and differentiable $$\forall x \in R$$ except at $$x = {2 \over 3}$$

is continuous $$\forall x \in R$$ and except at $$x=3$$ and differentiable $$\forall x \in R$$

GATE ME 2009

MCQ (Single Correct Answer)

-0.3

The area enclosed between the curves $${y^2} = 4x\,\,$$ and $${{x^2} = 4y}$$ is

$${{16} \over 3}$$

$$8$$

$${{32} \over 3}$$

$$16$$

GATE ME 2009

MCQ (Single Correct Answer)

-0.3

The distance between the origin and the point nearest to it on the surface $$\,\,{z^2} = 1 + xy\,\,$$ is

$$1$$

$${{\sqrt 3 } \over 2}$$

$${\sqrt 3 }$$

$$2$$

GATE ME 2008

MCQ (Single Correct Answer)

-0.3

The value of $$\,\,\mathop {Lim}\limits_{x \to 8} {{{x^{1/3}} - 2} \over {x - 8}}\,\,$$ is

$${1 \over {16}}$$

$${1 \over {12}}$$

$${1 \over {8}}$$

$${1 \over {4}}$$

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