set of parametric equations

Find the set of parametric equations for the rectangular equation y = 5 x + 3, use t = 3 + x . => x = 3 - t - 3, y = - 5 t + 18 or x = t - 3, y = 5 t - 12 or x = t - 3, y = 5 t or x = t - 3, y = 5 t - 18 ..

The equation of tangent to the circle x 2 +y 2 =a 2 at the point acosθ,asinθ is xcosθ +ysinθ =a. The equation of tangent at(x1,y1)for the circle x 2 +y 2 =a 2 is xx1+yy1=a 2 plugging x1=acosθ and y1=asinθ We get , acosθ x+asin&..

A well-defined collection of distinct objects is called a set..

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If the Point of contacts on the ellipse ,when the lines or the circles in touch with the ellipse ,we call it as parametric representation of ellip..

Proof - Let QPN be perpendicular to the major axis and O be the centre of the ellipse. Let NOQ=Φ,Then X = ON=OQcosΦ = acosΦ.Since p(x,y) lies on the ellipse (x 2 /a 2 )+(y 2 /b 2 ) = 1 and since x=acosΦ we have[( a 2 cos 2 Φ/a 2 )/a 2 ]+[y 2 /b 2 ]=1 or y 2 /b 2 =1-cos 2 Φ=s..

If x=f(t) and y=g(t), where x and y are dependant on the independent variable t, then t is called the paramete..

If two sets are given, a set can be formed by using all the elements of the two sets. Such a collection is called the union of the given sets..

Union of sets - If two sets are given, a set can be formed by using all the elements of the two sets. Such a collection is called the union of the given sets..