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The equations of the lines representing the sides of a triangle are 3x-4y=0, x+y=0 and 2x-3y=7. The line 3x+2y=0 always passes through the

A

Incentre

B

centroid

C

circumcentre

D

orthocentre

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The correct Answer is:
D
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PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
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  2. The image of the point (3,8) with respect to the line x+3y=7 is

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  3. The equations of the lines representing the sides of a triangle are 3x...

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  4. The point (4,1) undergoes the following three transformations successi...

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  5. A is (a,0) and B is (-a,0). If P is a point such that anglePAB - angle...

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  6. The points (-a,-b).(0,0),(a,b) and (a^2, ab) are

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  7. The medians AD and BE of a triangle ABC with vertices A(0, b), B(0, 0)...

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  8. The vertices of a rhombus taken in order are (2,-1), (3,4), (-2,3), th...

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  9. The coordinates of the point P on the lines 2x+3y+1=0, such that |PA-P...

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  10. One vertex of the equilateral triangle with centroid at the origin and...

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  11. If t1, t2 and t3 are distinct, the points (t1, 2at1+at1^3), (t2,2at2+a...

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  12. If (-6,-4), (3,5),(-2,1) are the vertices of a parallelogram, then rem...

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  13. A line passing through the point P(4,2) meets the x and y-axis at A an...

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  14. If P-=(1,0), Q-=(-1, 0), R-=(2,0) are three given points, then the loc...

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  15. A straight line segment AB of length 'a' moves with its ends on the ax...

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  16. Let A be any variable point on the X-axis and B the point (2,3). The p...

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  17. Let AB be a line segment of length 4 unit with the point A on the line...

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  18. The equation of the diagonal, through the origin, of the quadrilateral...

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  19. The number of integral values of 'm' for which the x coordinate of the...

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  20. Let 2x-3y=0 be a given line and P(sintheta, 0) and Q(0, costheta) be t...

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