Quantitative Aptitude (Maths)

13
Aug
Equation of  a Circle

Equation of  a Circle :–

  Parametric Equation of  a circle with centre ( h, k) and radius = r  :

x  =  h + r cosθ and y  =  k + r sinθ  :  Where,  θ ∈ ( – π, π]

P…

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13
Aug
Circle

☼    CIRCLE  

Condition for the General Quadratic Equation represents a circle :–

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13
Aug
Pairs of  Lines

Pairs of  Lines  :

 (i) The equation  ax2 + 2 hxy + by2  =  0  represents a pair of  lines passing through the origin if  h2

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13
Aug
Concurrent lines

Concurrent lines :-    If three or more distinct coplanar lines pass through a single common point, they are said to be concurrent lines and that point is called their point of concurrence.

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13
Aug
Lines

☼    LINES  

Cramer’s  Rules  :  

  If  l1  :  a1x   +  b1y  +  c1  =  0

and  l2 :   a2

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Posted in: Lines,
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13
Aug
Perpendicular Distance ( p )

Perpendicular Distance ( p ) :–

 (i) If  P (x1, y1) is a point outside a line ax + by + c = 0, then perpendicular distance from P to line is,

p  =  PM  …

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13
Aug
Intercepts and Slope of  the standard equation

Intercepts and Slope of  the standard equation :–

           If  AB  :  ax + by + c  =  0 intersects X – axis and Y – axis respectively at A and B, then

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