Show that the pair of lines joining the ...

Show that the pair of lines joining the origin to the points of the intersection of the line `fx-gy= lambda` with the curve `x^(2)+hxy-y^(2)gx+fy=0` are at right angles `AA lambda in R`.

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AAKASH SERIES-PAIR OF STRAIGHT LINES-SOLVED EXAMPLES

Let the equation ax^(2)+2hxy+2gx+2fy+c=0 represent a pair of parallel ...
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IF the pair of lines represented by ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 int...
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If two of the sides of a parallelogram are represented by ax^2+2hxy+by...
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Find the equation to the pair of lines joining the origin to the point...
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Show that the pair of lines joining the origin to the points of the in...
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The chords of the curve 3x^(2)-y^(2)-2x+4y=0 subtend a right angle at ...
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Find the equation of the pair of lines throughh the origin and forming...
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Show that the lines x^(2)+16xy-11y^(2)=0 form an equilateral triangle ...
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If (alpha, beta) is the centroid of the triangle, whose sides are ax^(...
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The straight line lx+my+n=0 bisects and angle between the pair of line...
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Two equal sides of an isoceles triangle are given by 7x-y+3=0 and x+y-...
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Show that the product of the perpendicular from (alpha,beta) to the pa...
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If the pair of lines ax^2+2hxy+by^2=0,ax^2+2hxy+by^2+2gx+2fy+c=0 form ...
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If S=ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two straight lines equi...
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Let the equation ax^(2)+2hxy+2gx+2fy+c=0 represent a pair of parallel ...
Text Solution
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IF the pair of lines represented by ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 int...
Text Solution
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If two of the sides of a parallelogram are represented by ax^2+2hxy+by...
Text Solution
|
Find the equation to the pair of lines joining the origin to the point...
Text Solution
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Show that the pair of lines joining the origin to the points of the in...
Text Solution
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The chords of the curve 3x^(2)-y^(2)-2x+4y=0 subtend a right angle at ...
Text Solution
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