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If the curves y= a^(x) and y= b^(x) int...

If the curves `y= a^(x)` and `y= b^(x) ` intersect at an angle `alpha` , then the value of ` tan alpha ` is-

A

`(a-b)/(1+ ab) `

B

`(log a - log b)/(1+ log a log b) `

C

` (a+b)/(1-ab)`

D

`(log a + log b)/(1+ log a log b )`

Text Solution

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 2
  1. If the curves y= a^(x) and y= b^(x) intersect at an angle alpha , the...

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  2. If the straight line y= 4x -5 touches the curve y^(2) = px^(3) + q at...

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  3. The area (in square unit ) of the figure bounded by y^(2)=12x, x=0 and...

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  4. The area (in square unit) of the region bounded by the curves 4x+3y=12...

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  5. The ratio of the areas bounded by the curves y= cos x and y=cos 2x bet...

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  6. The equation of the normal to the parabola y^(2) =4ax at the point (...

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  7. If the slope of the normal to the parabola 3y^(2) + 4y +2=x at a point...

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  8. If the line lx + my +n=0 is a tangent to the parabola y^(2)= 4ax , the...

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  9. The area ( in square unit ) in the first quadrant bounded by the parab...

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  10. The equations of the tangents to the hyperbola 3x^(2) -4y^(2)=12 whic...

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  11. The equation of tangent to the curve xy^(2)= 4(4-x) where it meets the...

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  12. The normal to the curve x= 3 cos theta - cos^(3) theta , y=3 sin theta...

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  13. The area bounded by the parabolas y=4x^(2), y=(x^(2))/(9) and the stra...

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  14. The point on the curve x^(2)+ 2y =10 at which the tangent to the curv...

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  15. Let x and y be two variables and x gt 0 , xy=1, then the minimum valu...

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  16. The function f(x)= 1- x^(3) - x^(5) is decreasing for -

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  17. The function y=a(1- cos x) is maximum when x is-

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  18. Let f(x)=x^(3) +6x^(2) + px +2 , if the largest possible interval in ...

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  19. In -4 lt x lt 4 , the function f(x)= int(-10)^(x) (t^(4)-4)e^(-4t) dt...

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  20. If a(1),a(2),a(3),a(4),...,a(n) are n positive real numbers whose prod...

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