Q . THE EQUATION ax 2 + 2bxy + by 2 =0 REPRESENTS

Question

Q . THE EQUATION ax2 + 2bxy + by2 =0 REPRESENTS A PAIR OF LINES. COMBINED EQUATION OF LINES THAT CAN BE OBTAINED BY REFLECTING THESE LINES ABOUT X-AXIS IS -	bx2 – 2bxy + ay2 = 0	ax2 + 2bxy +by2 = 0	bx2 + 2bxy + ay2 =0	ax2 – 2bxy + by2 =0

Himaja · Accepted Answer

Let (X,Y) be a point in the req locus.Clearly (X,Y) is the image of the point (X,-Y) wrt y=0.According to the question, (X,-Y) lies on ax2+2bxy+by2=0Therefore aX2- 2bXY +bY2= 0(X,Y) an arbitrary point in the locus satisfyies the above equation the req locus is ax2-2bxy+by2=0Alternate:To find equation of a curve obtained by reflecting the given curve about x axis just replace (x,y) with( x.-y) you get the eqn of req curve.If reflection is taken about y axis then replace (x,y) with (-x,y)If you like my answer pls approve it.

Analytical Geometry> Q . THE EQUATION ax 2 + 2bxy + by 2 =0 RE...

Q . THE EQUATION ax2 + 2bxy + by2 =0 REPRESENTS A PAIR OF LINES. COMBINED EQUATION OF LINES THAT CAN BE OBTAINED BY REFLECTING THESE LINES ABOUT X-AXIS IS -

bx2 – 2bxy + ay2 = 0

ax2 + 2bxy +by2 = 0

bx2 + 2bxy + ay2 =0

ax2 – 2bxy + by2 =0

Bharat Makkar , 11 Years ago

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Bharat Makkar

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Analytical Geometry> Q . THE EQUATION ax 2 + 2bxy + by 2 =0 RE...

Q . THE EQUATION ax2 + 2bxy + by2 =0 REPRESENTS A PAIR OF LINES. COMBINED EQUATION OF LINES THAT CAN BE OBTAINED BY REFLECTING THESE LINES ABOUT X-AXIS IS - bx2 – 2bxy + ay2 = 0 ax2 + 2bxy +by2 = 0 bx2 + 2bxy + ay2 =0 ax2 – 2bxy + by2 =0

Bharat Makkar , 11 Years ago

Himaja

Bharat Makkar

LIVE ONLINE CLASSES

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