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If the vertices `Pa n dQ` of a triangle `P Q R` are given by (2, 5) and `(4,-11)` , respectively, and the point `R` moves along the line `N` given by `9x+7y+4=0` , then the locus of the centroid of triangle `P Q R` is a straight line parallel to PQ (b) QR (c) RP (d) N

A

AB

B

BC

C

CA

D

`L_(1)`

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -EXERCISE (LEVEL 1) SINGLE CORRECT ANSWER TYPE QUESTIONS
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  2. The extremities of a diagonal of a parallelogram are the points (3, -4...

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  3. If the vertices Pa n dQ of a triangle P Q R are given by (2, 5) and (4...

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  4. The number of lines that can be drawn through the point (4, -5) at a d...

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  5. If O be the origin and A(x(1), y(1)), B(x(2), y(2)) are two points, th...

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  6. If the lines ax+y+1=0, x+by+1=0 and x+y+c=0 (a,b and c being distinct ...

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  7. The lien x/3+y/4=1 meets the y- and x-a x y s at Aa n dB , respectivel...

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  8. A line L intersects three sides BC, CA and AB of a triangle in P,Q,R r...

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

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  10. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

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  11. Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...

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  12. Two equal sides of an isosceles triangle are given by the equations 7x...

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  13. Two sides of a rhombus ABCD are parallel to the lines y = x + 2 and y ...

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  14. A line which makes an acute angle theta with the positive direction of...

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  15. A right angled triangle ABC having a right angle at C, CA=b and CB=a, ...

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  16. ABCD is a quadrilateral. P (3,7) and Q (7, 3) are the middle points of...

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  17. A line meets x - axis at A and y-axis at B such that incentre of the t...

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  18. ABCD is a rectangle in the clockwise direction. The coordinates of A a...

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  19. The area of a triangle is 5. Two of its vertices are (2,1) and (3,-2)....

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  20. The diagonals of a parallelogram PQRS are along the lines x+3y =4 and ...

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