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If the noraml to the continous curve y=f...

If the noraml to the continous curve `y=f(x)"at" P(x_(1),y_(1))` makes angle `psi` with the positive direction of x-aixs. Then-

A

`((dx)/(dy))_(((x_(1),y_(1))))= tan psi`

B

`-((dx)/(dy))_(((x_(1),y_(1))))= cot psi`

C

`-((dx)/(dy))_(((x_(1),y_(1))))= tan psi`

D

`((dx)/(dy))_(((x_(1),y_(1))))= -tan psi`

Text Solution

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The correct Answer is:
C
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CHHAYA PUBLICATION-TANGENT AND NORMAL -MULTIPLE CHOICE TYPE QUESTIONS
  1. If m is the slop of the normal to the continous curve y=f(x) at the p...

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  2. If the tangent to the contentious curve y=f(x) "at" p(a,b) is paralle...

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  3. If the tangent t the curv y=f(x )"at" P(x(1),y(1)) is paralle to the y...

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  4. If the slopes of the tangents and normal to the curve y=f(x) at the po...

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  5. The eqaution of the normal to the continuous curve y=f(x) at the point...

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  6. If the noraml to the continous curve y=f(x)"at" P(x(1),y(1)) makes ang...

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  7. The slope of the normal to the parabola x^(2)= 4ay at (2at, at^(2...

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  8. The slope of the normal to the rectangular hyperbola xy=4 "at" (2t, (2...

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  9. The slope of the tangent to the parabola y^(2)=4ax at the point (at^(2...

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  10. The slope of the normal to the cirlce x^(2)+y^(2)=a^(2) at the point (...

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  11. The slope of the tangent to the rectangular hyperbola xy=c^(2) at the ...

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  12. The slope of the normal to the circle x^(2)+y^(2)=a^(2) at the point (...

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  13. The slop of the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))...

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  14. The slop of the normal to the reactangular hyperbola xy=c^(2) point (...

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  15. The slope of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(...

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  16. The slop of the normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)...

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