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If `A(1,p^2),B(0,1)` and `C(p ,0)` are the coordinates of three points, then the value of `p` for which the area of triangle `A B C` is the minimum is (a) `1/(sqrt(3))` (b) `-1/(sqrt(3))` (c)`1/(sqrt(2))` (d) none of these

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. Statement 1 : If the vertices of a triangle are having rational coordi...

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  7. In an acute triangle A B C , if the coordinates of orthocentre H are (...

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  8. Consider the points O(0,0),A(0,1), and B(1,1) in the x-y plane. Suppos...

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  9. If all the vertices of a triangle have integral coordinates, then th...

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  10. The locus of a point represent by x=(a)/(2)((t+1)/(t)),y=(a)/(2)((t-...

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  11. The points A(0,0),B(cosalpha,sinalpha) and C(cosbeta,sinbeta) are the ...

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  13. Point P(p ,0),Q(q ,0),R(0, p),S(0,q) form (a) parallelogram (b) rhombu...

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  14. A rectangular billiard table has vertices at P(0,0),Q(0,7),R(10 ,7), ...

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  16. A rectangle A B C D , where A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2) , under...

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  17. If a straight line through the origin bisects the line passing through...

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  18. Let Ar ,r=1,2,3, , be the points on the number line such that O A1,O...

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  19. The vertices of a parallelogram A B C D are A(3,1),B(13 ,6),C(13 ,21),...

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  20. Point A and B are in the first quadrant; point O is the origin. If the...

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