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The normal to the curve x^(2) +2xy-3y^(2...

The normal to the curve `x^(2) +2xy-3y^(2)=0,` at (1, 1):

A

meets the curve again in the third quadrant.

B

meets the curve again in the fourth quadrant.

C

does not meet the curve again.

D

meets the curve again in the second quadrant.

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Verified by Experts

The correct Answer is:
B
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The normal to the curve, x^2+""2x y-3y^2=""0,""a t""(1,""1) : (1) does not meet the curve again (2) meets the curve again in the second quadrant (3) meets the curve again in the third quadrant (4) meets the curve again in the fourth quadrant

DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 2
  1. The normal to the curve x^(2) +2xy-3y^(2)=0, at (1, 1):

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  3. If the tangents at any point on the curve x^4 + y^4 = a^4 cuts off in...

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  4. f(x)=(x)/(sinx ) and g(x)=(x)/(tanx) , where 0 lt x le 1 then in the...

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  5. If the tangent at any point (4m^2,8m^2) of x^3-y^2=0 is a normal to th...

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  6. The point P of the curve y^(2)=2x^(3) such that the tangent at P is p...

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  7. Find the number of solutions of the equation 3tanx+x^3=2in(0,pi/4)

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  8. For the curve by^2=(x+a)^3 the square of subtangent is proportional t...

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  9. Find the point of intersection of the tangents drawn to the curve x...

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  10. The function f(x)""=""t a n^(-1)(sinx""+""cosx) is an increasing fu...

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  11. The function f(x)=2log(x-2)-x^2+4x+1 increases on the interval (a) (1,...

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  12. Find the intervals in which the function f given by f(x)=(4sinx-2x-xc...

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  13. Let f(x)=x^3+ax^2+bx+5sin^2x be an increasing function in the set of r...

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  14. The function f(x) = 3 cos^(4)x + 10 cos^(3) x + 6 cos^(2)x - 3, (0 le ...

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  15. f(x) = 2x^(2) – log | x | (x != 0) is monotonic increasing in the int...

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  16. The minimum value of e^((2x^(2)-2x+1)sin^(2)x) is

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  17. The number of solutions of the equation x^3 +2 x^2 +5 x + 2 cos x = 0 ...

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  18. Let g(x)=2f(x/2)+f(1-x) and f^(primeprime)(x)<0 in 0<=x<=1 then g(x)

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  19. If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c) v=sqrt(c) -sqrt(c-1),(...

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  20. f(x)=(sin^(2)x)e^(-2sin^(2)x)*max f(x)-min f(x)=

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  21. Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only ...

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