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If the parabolas y=x^(2)+ax+b and y=x(...

If the parabolas `y=x^(2)+ax+b ` and ` y=x(c-x)` touch each other at the point (1,0), then ` a+b+c=`

A

a=-3

B

b=1

C

c=2

D

b+c=2

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The correct Answer is:
A, D
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MOTION-TANGENT & NORMAL-EXERCISE 3
  1. If y=f(x) be the equation of a parabola which is touch by the line y=x...

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  2. If the line, ax+ by + c = 0 is a normal to the curve xy =2

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  3. If the parabolas y=x^(2)+ax+b and y=x(c-x) touch each other at the p...

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  4. The corrdinate of the points(s) on the graph of the function, f(x)=(x^...

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  5. For the curve represented parametrically by the equation, x=2log(cott)...

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  6. The angle at which the curve y=ke^(kx) intersects Y-axis is

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  7. Which of the following pair(s) of curves is/are orthogonal? y^2=4a x ...

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  8. Consider the curve f(x)=x^(1/3), then

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  9. In which of the following cases the given equations has atleast one ro...

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  10. Find the equation of tangent to the curve y=1+e^(-2x) Where it cuts...

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  11. Find the equation of normal to the curve x^3+y^3=8xy at point where it...

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  12. Find the equation of the tangent line to the curve y=x^2-2x+7 which...

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  13. Find the equation of the tangent line to the curvey =x^2-2x+7 which is...

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  14. If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , t...

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  15. The tangent at a variable point P of the curve y = x^2 – x^3 meets it ...

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  16. Find the points on the curve y=x^3 at which the slope of the tan...

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  17. Show that for any point of the curve x^2 - y^2 = a^2 the segment of th...

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  18. Prove that the length of segment of all tangents to curve x^(2/3)+y^(2...

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  19. find the abscissa of the point on the curve xy=(c-x)^2 the normal at ...

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  20. The angle of intersection of the curves y =2 sin^2 x and y = cos 2 x ...

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