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Maths-

General

Easy

Question

The curve satisfying $y equals 2 x fraction numerator d y over denominator d x end fraction$ is a

Family of parabola
Family of circle
Pair of straight line
None of these

The correct answer is: Family of parabola

Related Questions to study

The differential equation of the family of curves $c y to the power of 2 end exponent equals 2 x plus c comma$ where $c$ is an arbitrary constant is

The differential equation of the family of curves $c y to the power of 2 end exponent equals 2 x plus c comma$ where $c$ is an arbitrary constant is

$text The line end text x minus y plus 2 equals 0 text touches the parabola end text y to the power of 2 end exponent equals 8 x text at the end text$ point

$text The line end text x minus y plus 2 equals 0 text touches the parabola end text y to the power of 2 end exponent equals 8 x text at the end text$ point

The solution of the differential equation $fraction numerator d y over denominator d x end fraction equals fraction numerator y over denominator x end fraction plus fraction numerator f comma left parenthesis fraction numerator y over denominator x end fraction right parenthesis over denominator empty set left parenthesis fraction numerator y over denominator x end fraction right parenthesis end fraction$ is

The solution of the differential equation $fraction numerator d y over denominator d x end fraction equals fraction numerator y over denominator x end fraction plus fraction numerator f comma left parenthesis fraction numerator y over denominator x end fraction right parenthesis over denominator empty set left parenthesis fraction numerator y over denominator x end fraction right parenthesis end fraction$ is

parallel

Solution of $fraction numerator x d y over denominator x to the power of 2 end exponent plus y to the power of 2 end exponent end fraction equals left parenthesis fraction numerator y over denominator x to the power of 2 end exponent plus y to the power of 2 end exponent end fraction 1 right parenthesis d x$ is

Solution of $fraction numerator x d y over denominator x to the power of 2 end exponent plus y to the power of 2 end exponent end fraction equals left parenthesis fraction numerator y over denominator x to the power of 2 end exponent plus y to the power of 2 end exponent end fraction 1 right parenthesis d x$ is

The angle between the tangents drawn at the end points of the latus rectum of parabola $y to the power of 2 end exponent equals 4 a x text is end text$

The angle between the tangents drawn at the end points of the latus rectum of parabola $y to the power of 2 end exponent equals 4 a x text is end text$

The area (in $s q$ units) of the smaller portion enclosed between the curves, $x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4$ and $y to the power of 2 end exponent equals 3 x$ , is

The area (in $s q$ units) of the smaller portion enclosed between the curves, $x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4$ and $y to the power of 2 end exponent equals 3 x$ , is

parallel

The area of the region consisting of points $left parenthesis x comma blank y right parenthesis$ satisfying $vertical line x plus-or-minus y vertical line less or equal than 2$ and $x to the power of 2 end exponent plus y to the power of 2 end exponent greater or equal than 2$ is

The area of the region consisting of points $left parenthesis x comma blank y right parenthesis$ satisfying $vertical line x plus-or-minus y vertical line less or equal than 2$ and $x to the power of 2 end exponent plus y to the power of 2 end exponent greater or equal than 2$ is

Area of the region that consists of all the points satisfying the conditions $vertical line x minus y vertical line plus vertical line x plus y vertical line less or equal than 8$ and $x y greater or equal than 2$ is equal to

Area of the region that consists of all the points satisfying the conditions $vertical line x minus y vertical line plus vertical line x plus y vertical line less or equal than 8$ and $x y greater or equal than 2$ is equal to

Let $g left parenthesis x right parenthesis$ be a function defined on [−1, 1] If the area of the equilateral triangle with two of its vertices at $left parenthesis 0 , 0 right parenthesis$ and $left square bracket x comma blank g left parenthesis x right parenthesis right square bracket$ is $fraction numerator square root of 3 over denominator 4 end fraction$ , then the function $g left parenthesis x right parenthesis$ is

Let $g left parenthesis x right parenthesis$ be a function defined on [−1, 1] If the area of the equilateral triangle with two of its vertices at $left parenthesis 0 , 0 right parenthesis$ and $left square bracket x comma blank g left parenthesis x right parenthesis right square bracket$ is $fraction numerator square root of 3 over denominator 4 end fraction$ , then the function $g left parenthesis x right parenthesis$ is

parallel

The ratio in which the area bounded by the curves $y to the power of 2 end exponent equals x$ and $x to the power of 2 end exponent equals y i s$ divided by the Iine $x equals fraction numerator 1 over denominator 2 end fraction$ is

The ratio in which the area bounded by the curves $y to the power of 2 end exponent equals x$ and $x to the power of 2 end exponent equals y i s$ divided by the Iine $x equals fraction numerator 1 over denominator 2 end fraction$ is

The area bounded by the circle $x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4$ , line $x equals square root of 3 y$ and $x$ ‐axis Iying in the first quadrant is

The area bounded by the circle $x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4$ , line $x equals square root of 3 y$ and $x$ ‐axis Iying in the first quadrant is

If a curve $y equals 0 square root of x plus b x$ passes through the point $left parenthesis 1 comma blank 2 right parenthesis$ and the area bounded by the curve, Iine $x equals 4$ and $x$ ‐axis is 8 $s q$ units, then

If a curve $y equals 0 square root of x plus b x$ passes through the point $left parenthesis 1 comma blank 2 right parenthesis$ and the area bounded by the curve, Iine $x equals 4$ and $x$ ‐axis is 8 $s q$ units, then

parallel

The point of the contact of the tangent to the parabola $y to the power of 2 end exponent equals 4 a x$ , which makes an angle of 60° with x-axis, is

The point of the contact of the tangent to the parabola $y to the power of 2 end exponent equals 4 a x$ , which makes an angle of 60° with x-axis, is

The equation of the directrix of the parabola $x to the power of 2 end exponent plus 8 y minus 2 x equals 7$ is

The equation of the directrix of the parabola $x to the power of 2 end exponent plus 8 y minus 2 x equals 7$ is

The area enclosed by the parabolas $y equals x to the power of 2 end exponent minus 1$ and $y equals 1 minus x to the power of 2 end exponent$ is

The area enclosed by the parabolas $y equals x to the power of 2 end exponent minus 1$ and $y equals 1 minus x to the power of 2 end exponent$ is

parallel

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