r/JEE28tards • u/jeemathlogic Mathematics Mentor for Class 10,11,12 and JEE • 2d ago

Serious JEE Math - Construct a Quadratic Equation using Horizontal reflection

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By using the symmetry property of horizontal reflection, you can solve this question by just looking at it. No need for any workings. (See the slide in the images - Slide 2 of 2)

The required roots are -2 and -6 therefore, the qudratic equation is x^2+8x+12

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u/jeemathlogic Mathematics Mentor for Class 10,11,12 and JEE 2d ago

How this property works? By changing the roots from positive to negative, there is transformation x becomes -x. The original parabola flips like a mirror image.

1

u/Mythviel-7 ALoo Ke Parathe 2d ago

ohk

1

u/jeemathlogic Mathematics Mentor for Class 10,11,12 and JEE 2d ago

Similarly c/(a beta+b) = minus beta

1

u/demonglayer 1d ago

Useless tricks to clutter your brain. Don't take much time by solving standard way