Question
P1,P2,P3, be the product of perpendiculars from (0,0) to
respectively then:
Hint:
use formula for finding the product of perpendicular's for the given lines and then compare them.
The correct answer is: ![straight p subscript 3 less than straight p subscript 2 less than straight p subscript 1](data:image/png;base64,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)
Given That:
P1,P2,P3, be the product of perpendiculars from (0,0) to
respectively then:
>>> Product of perpendiculars from (0,0) to
is:
p1 = ![open vertical bar fraction numerator c over denominator square root of left parenthesis a minus b right parenthesis squared plus 4 h to the power of 2 end exponent end root end fraction close vertical bar](data:image/png;base64,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)
p1 = 1
>>> Product of perpendiculars from (0,0) to
is:
p2 = ![open vertical bar fraction numerator c over denominator square root of left parenthesis a minus b right parenthesis squared plus 4 h to the power of 2 end exponent end root end fraction close vertical bar](data:image/png;base64,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)
p2 = ![1 half](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJFJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLsAbiNUD8CYh/QaujaHIMOgjEkUDMA+VrAfFRqBjFQB6IL1HLyz+oYYgl1HsUAQ4gPgmNBLKBIBBvAGI3SgxRghqiQokhGkA8G4i5KDFEHIhXATELpYG7BeoimhZyWAEAI3M1I31CbrEAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+ND6jrQAAAABJRU5ErkJggg==)
>>> Product of perpendiculars from (0,0) to
:
p3 = ![open vertical bar fraction numerator c over denominator square root of left parenthesis a minus b right parenthesis squared plus 4 h to the power of 2 end exponent end root end fraction close vertical bar](data:image/png;base64,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)
p3 = ![fraction numerator 1 over denominator square root of 7 end fraction](data:image/png;base64,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)
>>> Therefore, we can say that
.
P1 = 1;
P2 = ;
P3 = ;
>>> Therefore, we can say that P1>P2>P3.
Related Questions to study
If θ is angle between pair of lines
, then ![cosec squared invisible function application theta equals](data:image/png;base64,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)
>>> = 2.
>>> tan =
>>> = 10.
If θ is angle between pair of lines
, then ![cosec squared invisible function application theta equals](data:image/png;base64,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)
>>> = 2.
>>> tan =
>>> = 10.
If the pair of lines
intersect on the x-axis, then 2fgh=
If the pair of lines
intersect on the x-axis, then 2fgh=
If the pair of lines
intersect on the x-axis, then ac=
If the pair of lines
intersect on the x-axis, then ac=
If the equation
represents a pair of perpendicular lines then its point of intersection is
If the equation
represents a pair of perpendicular lines then its point of intersection is
If the lines
and
are concurrent then λ
>>> The value of is 2.
If the lines
and
are concurrent then λ
>>> The value of is 2.
The equation of the line concurrent with the pair of lines
is
Hence, x=y is the the line that is concurrent with the pair of straight lines.
The equation of the line concurrent with the pair of lines
is
Hence, x=y is the the line that is concurrent with the pair of straight lines.
If the equation
represents a pair of straight lines then their point of intersection is
>>>The point of intersection of the pair of straight lines x2 – 5xy + 6y2 + x – 3y = 0 is (-3, -1)
If the equation
represents a pair of straight lines then their point of intersection is
>>>The point of intersection of the pair of straight lines x2 – 5xy + 6y2 + x – 3y = 0 is (-3, -1)
The point of intersection of the perpendicular lines
is
The point of intersection of the perpendicular lines
is
In the structure the configurations at chiral centers are:
![](data:image/png;base64,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)
In the structure the configurations at chiral centers are:
![](data:image/png;base64,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)
Which of the following compound are meso forms?
![](data:image/png;base64,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)
Which of the following compound are meso forms?
![](data:image/png;base64,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)
The number of enantiomers of the compound
is:
The number of enantiomers of the compound
is:
Following stereo-structure of tartaric acid represents:
![](data:image/png;base64,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)
Following stereo-structure of tartaric acid represents:
![](data:image/png;base64,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)
The transformed equation of
when the axes are rotated through an angle 36° is
>>> Given equation is x2+y2=r2. After rotation
>>> x=Xcos36∘−Ysin36∘ and y=Xsin36o+Ycos36∘
∴X2(cos236o+sin236o)+Y2(sin236o+cos236o)=r2
>>> ⇒X2+Y2=r2
The transformed equation of
when the axes are rotated through an angle 36° is
>>> Given equation is x2+y2=r2. After rotation
>>> x=Xcos36∘−Ysin36∘ and y=Xsin36o+Ycos36∘
∴X2(cos236o+sin236o)+Y2(sin236o+cos236o)=r2
>>> ⇒X2+Y2=r2
When axes rotated an angle of
the transformed form of
is
When axes rotated an angle of
the transformed form of
is
The transformed equation of
when the axes are rotated through an angle 90° is
>>> Therefore, the equation becomes =1.
The transformed equation of
when the axes are rotated through an angle 90° is
>>> Therefore, the equation becomes =1.