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At what point is the tangent to the curv...

At what point is the tangent to the curve `f(x)=log x` parallel to the chord joining the points A(1, 0) and B(e, 1) ?

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The correct Answer is:
At the point with abscissa `c=e-1`
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CHHAYA PUBLICATION-DIFFERENTIATION-EXERCISE 3B (Short Answer Type Questions)
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  2. If f(x) is a polynomial, show that between two roots of the polynomial...

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  3. If f(x)=(x-1)(x-2)(x-3)(x-4), show that the equation f'(x)=0 has thre...

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  4. Show that the equation e^(x-1)+x-2=0 has no real root which is less t...

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  5. If the function f(x)=x^(3)+ax^(2)-bx+4 defined in -2 le x le 2 satisfi...

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  6. Using Rolle's theorem, find the point on the curve y=x(x-4), x in [0...

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  7. Using Rolle's theorem, find the point on the curve f(x)=(1-cosx)" i...

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  8. At what point is the tangent to the curve f(x)=log x parallel to the c...

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  9. In the mean value theorem f(b)-f(a)=(b-a)f'(c ), (a lt c lt b)," if " ...

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  10. In the mean value theorem, f(a+h)=f(a)+hf'(a+theta h) (0 lt theta lt 1...

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  11. In the mean value theorem, f(x+h)=f(x)+hf'(x+theta h)(0 lt theta lt 1...

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  12. Using Lagrange's mean value theorem prove that, e^(x) gt 1 +x

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  13. Using Lagrange's mean value theorem prove that, log (1+x) lt x ("wh...

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  14. Using Lagranges mean value theorem, prove that |cosa-cosb|<=|a-b|dot

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  15. Using Lagrange's mean value theorem prove that, (b-a)sec^(2)a lt ta...

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  16. If f(x)=(1)/(x), then find the value of theta in the mean value theor...

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  17. Using Lagrange's mean value theorem, find a point on the curve y=sqrt(...

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  18. Using Lagrange's mena value theorem, find a point on the curve y=x^(2)...

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