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Maths-

General

Easy

Question

The curve represented by x=2(cost + sint) and y = 5(cos t - Sin t ) is

a circle
a parabola
an ellipse
a hyperbola

The correct answer is: an ellipse

$fraction numerator x over denominator 2 end fraction equals c o s invisible function application t plus s i n invisible function application t comma fraction numerator y over denominator 5 end fraction equals c o s invisible function application t minus s i n invisible function application t$

Related Questions to study

If P = (0,1), Q= (0,-1) and R = (0,2) then the locus of the point S such that $S Q to the power of 2 end exponent plus S R to the power of 2 end exponent equals 2 S P to the power of 2 end exponent text end text$ is a

If P = (0,1), Q= (0,-1) and R = (0,2) then the locus of the point S such that $S Q to the power of 2 end exponent plus S R to the power of 2 end exponent equals 2 S P to the power of 2 end exponent text end text$ is a

If the distance from P to the points (5, -4), (7, 6) are in the ratio 2 : 3, then the locus of P is

If the distance from P to the points (5, -4), (7, 6) are in the ratio 2 : 3, then the locus of P is

Let $blank A equals open curly brackets A subscript 1 end subscript comma A subscript 2 end subscript comma A subscript 3 end subscript comma A subscript 4 end subscript comma A subscript 5 end subscript comma A subscript 6 end subscript close curly brackets$ be the set of six unit circles with centres $C subscript 1 end subscript comma C subscript 2 end subscript comma C subscript 3 end subscript horizontal ellipsis C subscript 6 end subscript$ arranged as shown in the diagram. The relation R on A is defined by $open parentheses A subscript i end subscript comma A subscript j end subscript close parentheses element of R left right double arrow C subscript i end subscript C subscript j end subscript less or equal than 2 square root of 2 text end text$ then
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/655383/1/1167938/Picture1.png" alt="" width="98" height="79"

Let $blank A equals open curly brackets A subscript 1 end subscript comma A subscript 2 end subscript comma A subscript 3 end subscript comma A subscript 4 end subscript comma A subscript 5 end subscript comma A subscript 6 end subscript close curly brackets$ be the set of six unit circles with centres $C subscript 1 end subscript comma C subscript 2 end subscript comma C subscript 3 end subscript horizontal ellipsis C subscript 6 end subscript$ arranged as shown in the diagram. The relation R on A is defined by $open parentheses A subscript i end subscript comma A subscript j end subscript close parentheses element of R left right double arrow C subscript i end subscript C subscript j end subscript less or equal than 2 square root of 2 text end text$ then
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/655383/1/1167938/Picture1.png" alt="" width="98" height="79"

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The relation R is defined by $R equals left curly bracket left parenthesis a comma b right parenthesis colon b equals vertical line a plus 1 vertical line text end text$ and $blank vertical line a vertical line less or equal than 3 comma a comma b element of Z right curly bracket$ then range of R =

The relation R is defined by $R equals left curly bracket left parenthesis a comma b right parenthesis colon b equals vertical line a plus 1 vertical line text end text$ and $blank vertical line a vertical line less or equal than 3 comma a comma b element of Z right curly bracket$ then range of R =

Let $blank R equals left curly bracket left parenthesis x comma y right parenthesis colon x comma y element of A semicolon x plus y equals 5 right curly bracket text end text$ where A = {1,2,3,4,5} then

Let $blank R equals left curly bracket left parenthesis x comma y right parenthesis colon x comma y element of A semicolon x plus y equals 5 right curly bracket text end text$ where A = {1,2,3,4,5} then

A thin semicircular conducting ring of radius R is falling with its plane vertical in a horizontal magnetic induction B. At the position MNQ, the speed of the ring is V and the potential difference developed across the ring is

A thin semicircular conducting ring of radius R is falling with its plane vertical in a horizontal magnetic induction B. At the position MNQ, the speed of the ring is V and the potential difference developed across the ring is

Physics-General

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A copper rod of length l is rotated about one end perpendicular to the magnetic field B with constant angular velocity $omega$ . The induced e.m.f. between the two ends is

A copper rod of length l is rotated about one end perpendicular to the magnetic field B with constant angular velocity $omega$ . The induced e.m.f. between the two ends is

Physics-General

A uniform circular plate of radius 2R has a circular hole of radius R cut out of it. The centre of the smaller circle is at a distance of R/3 from the centre of the larger circle. What is the position of the centre of man of the plate

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Physics-General

In the figure shown a particle of mass m moving with velocity $v$ strike a wall ( mass is infinitely large) moving towards the particle with same speed The work done on the particle during collision is

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A uniform circular plate of radius 2R has a circular hole of radius R cut out of it. The centre of the smaller circle is at a distance of R/3 from the centre of the larger circle. What is the position of the centre of man of the plate

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Physics-General

The kinetic energy of a body decreases by 36%. The decrease in its momentum is

The kinetic energy of a body decreases by 36%. The decrease in its momentum is

Physics-General

A body moves from rest with a constant acceleration. Which one of the following graphs represents the variation of its kinetic energy K with the distance travelled x ?

A body moves from rest with a constant acceleration. Which one of the following graphs represents the variation of its kinetic energy K with the distance travelled x ?

Physics-General

parallel

Which of the following graphs is correct between kinetic energy (E), potential energy (U) and height (h) from the ground of the particle

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Physics-General

When pH of a solution is 2, the hydrogen ion concentration in mol litre1 is:

When pH of a solution is 2, the hydrogen ion concentration in mol litre1 is:

Chemistry-General

The decreasing order of strength of following bases is:

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Chemistry-General

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