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#Itz_Desi_Gujjar_Ravi???? (Kannu?) 6 years, 10 months ago
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Posted by Jatin Dabas 6 years, 10 months ago
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Gaurav Seth 6 years, 10 months ago
Question: From an outside point A, two tangents AB and AC are drawn to touch the circle with centre at O. GIVEN ANGLE BAC=30. FIND ANGLE AOB
Answer:


Saloni Kalra 6 years, 10 months ago
Posted by Justice Chintu 6 years, 10 months ago
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Gaurav Seth 6 years, 10 months ago
Distace between the points (x, y) and (a+b, b-a) & (a-b, a+b) is equal
⇒ √{[x - (a + b)]2 + [y - (b -a)]2} = √{x - (a - b)]2 + [y - (a + b)]2}
⇒ x2 + (a + b)2 - 2x(a + b) + y2 + (b - a)2 - 2y(b - a) = x2 + (a - b)2 - 2x(a - b) + y2 + (a + b)2 - 2y(a + b)
⇒ -2ax - 2bx - 2by + 2ay = - 2ax + 2bx - 2ay - 2by
⇒ ay - bx = bx - ay
⇒ 2ay = 2bx
⇒ bx = ay
Hence proved.
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Priyan?? ? 6 years, 10 months ago
Posted by Kirti Dhillon 6 years, 10 months ago
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Gaurav Seth 6 years, 10 months ago
Let θ = x
cos x + sin x = √2 cos x
squaring on both side, we get......
cos2x + sin2x + 2cosxsinx = 2cos2x
2sinxcosx = 2cos2x - cos2x - sin2x
2sinxcosx = cos2x - sin2x
2sinxcosx = (cosx+sinx) (cosx - sinx)
2sinxcosx = (root2 cosx) (cosx - sinx)
2sinxcosx/root2 cosx = cosx - sinx
√2 sinx = cosx - sinx
Puja Sahoo? 6 years, 10 months ago
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Ram Kushwah 6 years, 10 months ago
{tex}\begin{array}{l}\mathrm x=\mathrm y^{\mathrm z},\mathrm y=\mathrm z^{\mathrm x},\mathrm z=\mathrm x^{\mathrm y}\\\mathrm{xyz}=\mathrm x^{\mathrm y}\mathrm y^{\mathrm z}\mathrm z^{\mathrm x}\\\mathrm{xyz}=\mathrm{xyz}(\mathrm x^{\mathrm y-1}\mathrm y^{\mathrm z-1}\mathrm z^{\mathrm x-1})\\\mathrm{or}\;\mathrm x^{\mathrm y-1}\mathrm y^{\mathrm z-1}\mathrm z^{\mathrm x-1}=1\\\frac{\mathrm x^{\mathrm y}\mathrm y^{\mathrm z}\mathrm z^{\mathrm x}}{\mathrm{xyz}}=1\\\mathrm{So}\;\;\mathrm{xyz}=\mathrm x^{\mathrm y}\mathrm y^{\mathrm z}\mathrm z^{\mathrm x}\end{array}{/tex}
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Sneha Singh 6 years, 10 months ago
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