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If a point P moves such that its distanc...

If a point `P` moves such that its distance from the point `A(1,1)` and the line `x+y+2` are equal then the locus is

A

a straight line

B

a pair of straight line

C

a parabola

D

an ellipse

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. Suppose A, B are two points on 2 x-y+3=0 and P(1,2) is such that P A=P...

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  2. The distance between the points (a cos theta, a sin theta) and (a cos ...

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  3. If a point P moves such that its distance from the point A(1,1) and th...

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  4. The area of the triangle formed by the lines x=0, y=0 and 3 x+4 y=12 i...

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  5. If P M is the perpendicular from P(2,3) onto the line x+y=3, then the ...

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  6. The equation of the line perpendicular to 5 x-2 y=7 and passing throug...

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  7. The lines x-y-2=0 and x+y-4=0 and x+3 y=6 meet in the common point

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  8. The consecutive sides of a parallelogram are 4 x+5 y=0 and 7 x+2 y=0 ....

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  9. A point (-4,5) is the vertex of a square and one of its diagonals is 7...

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  10. The centroid of the triangle ABC where A= (2,3), B= (8,10) and C= (5,...

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  11. A variable line (x)/(a)+(y)/(b)=1 is such that a+b=4. The locus of the...

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  12. The foot of the perpendicular from the point (2,4) upon x+y=4 is

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  13. The vertices of triangle ar (6,0),(0,6) and (6,6). The distance betwee...

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  14. The line joining A(2,-7) dand B(6,5) is divided into 4 equal parts by ...

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  15. Locus of a point which moves such that its distance from the X-axis is...

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  16. The points A(1,2),B(2,4) and C(4,8) form a/an

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  17. If the line through A-=(4, -5) is inclined at an angle 45^(@) with the...

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  18. If the straight line ax+by+c=0 always passes through (1, -2), then a, ...

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  19. The incentre of the triangle with vertices (1, sqrt(3)), (0, 0) and (2...

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  20. Let 0 lt alpha lt pi//4 be a fixed angle. If P=(cos theta, sin theta) ...

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