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Each of the four inequalities given belo...

Each of the four inequalities given below defines a region in the xy plane. One of these four regions does nothave the following property. For any two points `(x_1,y_2) and (y_1,y_2)` in the region the piont `((x_1+x_2)/2*(y_1+y_2)/2)` is also in the region. The inequality defining this region is

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the normal at P to the rectangular hyperbola x^2-y^2=4 meets the ax...

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  2. Each question has four choice: a, b, c and d, out of which only one is...

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  3. Each of the four inequalities given below defines a region in the xy p...

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  4. The lines parallel to the normal to the curve x y=1 is/are 3x+4y+5=0 ...

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  5. From the point (2, 2) tangent are drawn to the hyperbola (x^2)/(16)-(y...

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  6. If the two intersecting lines intersect the hyperbola and neither of ...

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  7. For the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , let n be the number of p...

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  8. The differential equation (dy)/(dx)=(2x)/(3y) represents a family of h...

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  9. Circle are drawn on the chords of the rectangular hyperbola x y=4 para...

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  10. The equation (x-alpha)^2+(y-beta)^2=k(l x+m y+n)^2 represents (a) a pa...

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  11. If x , y in R , then the equation 3x^4-2(19 y+8)x^2+(361 y^2+2(100+y...

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  12. The equation |sqrt(x^2+(y-1)^2)-sqrt(x^2+(y+1)^2)|=K will represent a ...

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  13. The exhaustive set value of alpha^2 such that there exists a tangent t...

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  14. A variable chord of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(b > a), s...

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  15. Show that the equation 9x^2-16 y^2-18 x+32 y-151=0 represents a hyperb...

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  16. For which of the hyperbolas, can we have more than one pair of perpe...

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  17. If (5, 12) and (24, 7) are the foci of an ellipse passing through t...

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  18. If (5,12)a n d(24 ,7) are the foci of a hyperbola passing through the ...

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  19. Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 t...

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  20. If the circle x^2+y^2=a^2 intersects the hyperbola x y=c^2 at four poi...

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