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If A (2, -3) and B (-2, 1) are two verti...

If A (2, -3) and B (-2, 1) are two vertices of a triangle and third vertex moves on the line 2x + 3y = 9, then the locus of the centroid of the triangle is :

A

x-y=1

B

2x+3y=1

C

2x+3y=3

D

2x-3y= 1.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. A straight line L through the point (3,-2) is incined at an angle 60^...

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  2. The lines x + y =|a| and ax-y= 1 intersect each other in the first qua...

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  3. If A (2, -3) and B (-2, 1) are two vertices of a triangle and third ve...

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  4. The two circles x^2+""y^2=""a x and x^2+""y^2=""c^2(c"">""0) touch eac...

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  5. The circle passing through the point (-1,0) and touching the Y-axis at...

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  6. Find the equation of the circle passing through (1,0) and (0,1) and h...

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  7. Let (x,y) be any point on the parabola y^2= 4x . Let P be the point th...

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  8. Find the equation of the ellipse referred to its axes as the axes of c...

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  9. The equation of the hyperbola whose foci are (- 2, 0) and (2, 0) and e...

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  10. Find the equation of the diagonal through the origin of the quadrilate...

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  11. Show that all chords of the curve 3x^2 -y^2- 2x+ 4y= 0, which subtend ...

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  12. A line is such that its segment between the straight line 5x-y-4=0 and...

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  13. Straight lines : 3x + 4y = 5 and 4x- 3y = 15 intersect at the point A....

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  14. Find the locus of a point whose sum of the distances from the origin a...

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  15. Given vertices A (1, 1), B (4, -2) and C (5, 5) of a triangle, find th...

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  16. If lines 5x + 12y-10 = 0 and 5x- 12y - 40 =0 touch a circle C1 of diam...

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  17. Let S =x^2 + y^2 + 2gx + 2fy +c = 0 be a gives circle. Find the locus ...

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  18. The points (1, 3) and (5, 1) are the opposite vertices of a rectangle....

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  19. Let P(x1,y1) be a point and let ax + by +c =0 be a line. If L (h, k) i...

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  20. Let P(x1,y1) be a point and let ax + by +c =0 be a line. If L (h, k) i...

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