A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 25 - Mock Test 1>Mathematics>Q 13

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JEE Main Paper 2A- B.Arch

IMPORTANT

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Assuming that the petrol burnt in a motor boat varies as the cube of its velocity, the most economical speed, when going against a current of $c km / h$ is

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Important Questions on Mock Test 1

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JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 25 - Mock Test 1>Mathematics>Q 14

Given,

f (x) = |\begin{matrix} 0 & x^{2} - \sin x & \cos x - 2 \\ \sin x - x^{2} & 0 & 1 - 2 x \\ 2 - \cos x & 2 x - 1 & 0 \end{matrix}|

, then

\int f (x) d x

is equal to

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JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 25 - Mock Test 1>Mathematics>Q 15

If

f (x) = \{\begin{matrix} \frac{x - |x|}{x}; when x \neq 0 \\ 2; when x = 0 \end{matrix}

, then

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JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 25 - Mock Test 1>Mathematics>Q 16

The area bounded by the curve

y = x^{2} + 2 x + 1

and tangent at

(1, 4)

and

y -

axis is

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JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 25 - Mock Test 1>Mathematics>Q 17

The solution of the equation

\frac{d y}{d x} + x (x + y) = x^{3} {(x + y)}^{3} - 1

is

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JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 25 - Mock Test 1>Mathematics>Q 18

The two vertices of a triangle are

(4, - 3)

and

(- 2, 5)

. If the orthocentre of the triangle is at

(1, 2),

then the third vertex is

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JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 25 - Mock Test 1>Mathematics>Q 19

Normals

A O, A A_{1}, A A_{2}

are drawn to parabola

y^{2} = 8 x

from the point

A (h, 0) .

If

Δ O A_{1} A_{2}

is equilateral, then possible values of

h

is

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JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 25 - Mock Test 1>Mathematics>Q 20

The equation of the plane through the points

(- 1, 1, 1), (1, - 1, 1)

and perpendicular to the plane

x + 2 y + 2 z = 5

is

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JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 25 - Mock Test 1>Mathematics>Q 21

If the tangent to ellipse

x^{2} + 2 y^{2} = 1

at point

P (\frac{1}{\sqrt{2}}, \frac{1}{2})

meets the auxiliary circle at points

R

and

Q

, then tangent to circle at

Q

and

R

intersect at