Differential Integral Calculus Quiz Online Exam Quiz
Differential Integral Calculus Quiz GK Quiz. Question and Answers related to Differential Integral Calculus Quiz. MCQ (Multiple Choice Questions with answers about Differential Integral Calculus Quiz
Envelope of a family of curves can be defined as __________
Options
A : A curve which touches 50% of the family of curves
B : A curve which is a straight line
C : A curve which touches each member of the family of curves
D : A curve which surrounds the family of curves
What is the relation between evolutes and envelopes?
Options
A : Evolutes and envelopes are same
B : Evolute is the envelope of normals to a curve
C : Evolute is the envelope of tangents to a curve
D : Envelope is the evolute of normal to a curve
Find the envelope of the family of lines frac{x}{t} + yt = 2c, t being the parameter.
Options
A : xy = c
B : xy = 2c
C : xy = 2
D : xy = c2
What is the envelope of the family of straight lines y = mx +frac{a}{m} , m is the parameter?
Options
A : y = 4ax
B : y2 = 4ax
C : x = 4ay
D : x2 = 4ay
What is the envelope of straight lines given by x cos b + y sin b = a sec b, where b is the parameter?
Options
A : y2 + 4a(a-x) = 0
B : y + 4ax = 0
C : y + 4a(a-x) = 0
D : y2 = 4a(a-x)
Do concentric circles have an envelope?
Options
A : Yes
B : No
C :
D :
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