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if `x` and `y` coordinates of a point `P` in `x-y `plane are given by `x=(ucosalpha)t, y=(usinalpha )t-1/2 g t^2 `where `t` is a aprameter and `u,alpha,g`the constants. Then the locus of the point `P` is a parabola then whose vertex is:

A

a circle

B

a parabola

C

an ellipse

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Exercise
  1. Find the locus of the mid-point of the portion of the line xcosalpha+y...

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  2. Find the locus of the point of intersection of lines xcosalpha+ysin...

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  3. if x and y coordinates of a point P in x-y plane are given by x=(ucosa...

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  4. If A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2) are the vertic...

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  5. A and B are two fixed points. Draw the locus of a point P such that an...

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  6. If a variable line passes through the point of intersection of the lin...

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  7. A variable straight line is drawn through the point of intersection of...

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  8. The nearest point on the line 3x- 4y = 25 from the origin is

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  9. The distance between the lines (x+7y)^2+4sqrt(2)(x+7y)-42=0 is

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  10. The image of the point (-1,3) by the line x - y = 0 , is

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  11. If A(1,1), B(sqrt3+1,2) and C(sqrt3,sqrt3+2) are three vertices of a s...

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  12. If (-4,0) and (1,-1) are two vertices of a triangle of area 4s qdotu n...

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  13. If the line x+y-1=(lamda)/(2)=0 passing through the intersection of ...

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  14. The distance between the lines 5x+12y+65=0 and 5x+12y-39 = 0 is :

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  15. Prove that the locus of the centroid of the triangle whose vertices ar...

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  16. The equation of the line with slope -3//2 and which in concurrent with...

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  17. The point of intersection of the lines x/a+y/b=1 and x/b+y/a=1 lies on

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  18. Find the equation of the bisector of the obtuse angle between the line...

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  19. If the equation of the locus of a point equidistant from the points (a...

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  20. The equations of perpendicular bisectors o the sides AB and AC of a ...

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