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Family y = Ax + A3 of curves will correspond to a differential equation of order ______.
Concept: undefined >> undefined
The curve for which the slope of the tangent at any point is equal to the ratio of the abcissa to the ordinate of the point is ______.
Concept: undefined >> undefined
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At (0, 0) the curve y = x3 + x
Concept: undefined >> undefined
The differential equation of the family of curves y2 = 4a(x + a) is ______.
Concept: undefined >> undefined
The differential equation representing the family of circles x2 + (y – a)2 = a2 will be of order two.
Concept: undefined >> undefined
Differential equation representing the family of curves y = ex (Acosx + Bsinx) is `("d"^2y)/("d"x^2) - 2 ("d"y)/("d"x) + 2y` = 0
Concept: undefined >> undefined
The vector having initial and terminal points as (2, 5, 0) and (–3, 7, 4), respectively is ______.
Concept: undefined >> undefined
If `abs (("a - b - c", 2"a", 2"a"),(2"b", "b - c - a", 2"b"),(2"c", 2"c", "c - a - b")) = "k" ("a + b + c")^3,` then k is ____________.
Concept: undefined >> undefined
If `"x = a sin" theta "and y = b cos" theta, "then" ("d"^2 "y")/"dx"^2` is equal to ____________.
Concept: undefined >> undefined
The points on the curve `"x"^2/9 + "y"^2/16` = 1 at which the tangents are parallel to the y-axis are:
Concept: undefined >> undefined
If A = `[(0, 2),(3, −4)]` and kA = `[(0, 3"a"),(2"b", 24)]`, then the values of k, a and b respectively are:
Concept: undefined >> undefined
For which value of m is the line y = mx + 1 a tangent to the curve y2 = 4x?
Concept: undefined >> undefined
If y `= "Ae"^(5"x") + "Be"^(-5"x") "x" "then" ("d"^2 "y")/"dx"^2` is equal to ____________.
Concept: undefined >> undefined
`"sin"^"p" theta "cos"^"q" theta` attains a maximum, when `theta` = ____________.
Concept: undefined >> undefined
The point on the curves y = (x – 3)2 where the tangent is parallel to the chord joining (3, 0) and (4, 1) is ____________.
Concept: undefined >> undefined
The slope of the tangent to the curve x = a sin t, y = a{cot t + log(tan `"t"/2`)} at the point ‘t’ is ____________.
Concept: undefined >> undefined
The tangent to the parabola x2 = 2y at the point (1, `1/2`) makes with the x-axis an angle of ____________.
Concept: undefined >> undefined
The two curves x3 - 3xy2 + 5 = 0 and 3x2y - y3 - 7 = 0
Concept: undefined >> undefined
The distance between the point (1, 1) and the tangent to the curve y = e2x + x2 drawn at the point x = 0
Concept: undefined >> undefined
The tangent to the curve y = 2x2 - x + 1 is parallel to the line y = 3x + 9 at the point ____________.
Concept: undefined >> undefined
