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On the parabola y = x^(2), the point lea...

On the parabola `y = x^(2),` the point least distance from the straight line y =2x -4 ` is

A

`(1,1)`

B

`(1,0)`

C

`(1,-1)`

D

`(0,0)`

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-CIRCLE AND CONICS -EVALUATION TEST
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  2. A circle is inscribed in an equilateral triangle of side a. The area o...

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  3. On the parabola y = x^(2), the point least distance from the straight ...

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  4. The equation of a circle passing through the vertex and the extremites...

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  5. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

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  6. Tht line L passes through the points f intersection of the circles x ^...

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  7. the equation of the circle passing through the foci of the ellip...

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  8. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=...

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  9. An ellipse drawn by taking a diameter of the circle (x-1)^(2)+y^(2)=1 ...

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  10. The circle x^2 +y^2=4x+8y+ 5 intersects the line 3x-4y= m at two disti...

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  11. Three distinct points A, B and C are given in the 2-dimensional coordi...

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  12. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

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  13. The equation of the the circle having x - y - 2 = 0 and x - y + 2 = 0 ...

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  14. The sum of the minimum distance and the maximum distnace from the poin...

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  15. Let f(x,y) =0 be the equation of a circle. If f (0, lamda)=0 has equal...

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  16. The distance between the vertex of the parabola y = x^2 - 4x + 3 and...

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  17. Let a circle touches to the directrix of a parabola y ^(2) = 2ax has i...

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  18. Through the vertex 'O' of parabola y^2=4x, chords OP and OQ are drawn...

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  19. For each point (a,y) on an ellipse, the sum of the distances from (x,y...

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  20. The line passing through the extremity A of the major exis and extremi...

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