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If p,x(1),x(2),………x(i)….. And q,y(1),y(2...

If `p,x_(1),x_(2),………x_(i)`….. And `q,y_(1),y_(2),…………y_(i)`…are in A.P. with common differences a and b respectively then the centre of mean position of the points `A_(i)(x_(i),y_(i)),i=1,2`……n lies on the line

A

`ax-bh=aq-bp`

B

`ax-by=bq-ap`

C

`bx-ay=ap-bq`

D

`bx-ay=bp-aq`

Text Solution

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The correct Answer is:
D
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(1)(MULTIPLE CHOICE QUESTIONS)
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  2. ABC is an isosceles triangle. If the coordinates of the base are B(1,3...

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  3. A point P on y-axis is equisdistant from the points A(-5,4) and B(3,-2...

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  4. If the vertices P,Q,R of a triangle PQR are rational points, which of ...

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  5. If alpha,beta, gamma are the real roots of the equation x^(3)-3ax^(2)+...

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  6. Let O(0, 0), P(3, 4), Q(6, 0) be the vertices of the triangle OPQ. The...

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  7. Let S1 , S2 , …. Be squares such that for each n ge 1 the length of a...

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  8. If the point P(x,y) be equidistant from the points A(a+b,b-a) and B(a-...

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

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  10. Vertices of a DeltaABC are A(2,2),B(-4,-4),C(5,-8). Then length of the...

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  11. If O be the origin and Q(1)(x(1),y(1)) and Q(2)(x(2),y(2)) be two poin...

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  12. The sides of a triangle are 3x + 4y, 4x + 3y and 5x+5y units, where x ...

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  13. The triangle OAB is right angled where points O,A,B are (0,0) (cos the...

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  14. The line joining the points A(bcos theta, b sin theta) and B(a cos phi...

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  15. The vertices of a triangle ABC has co -ordinates (cos theta, sin theta...

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  16. Locus of the centroid of a triangle whose vertices are (a cos t, a sin...

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  17. Triangle is formed by the co-ordinates (0,0),(0,21) and (21,0). Find t...

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  18. If p,x(1),x(2),………x(i)….. And q,y(1),y(2),…………y(i)…are in A.P. with c...

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  20. The co ordinates of the base BC of an isosceles triangle are B(1,3) an...

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