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Given four lines whose equations are x +...

Given four lines whose equations are `x +2y -3=0, 2x+3y-4=0, 3x + 4y -7 = 0 and 4x + 5y-6=0`, then the lines are

A

concurrent

B

the sides of a quadrilateral with one vertex at (3, 0)

C

the sides of a cyclic quadrilateral

D

none of these

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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 2) SINGLE CORRECT ANSWER TYPE QUESTIONS
  1. The vertices of the triangle ABC are A(1, 2), B (0, 0) and C (2, 3), t...

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  2. The points (0,8/3),(1,3) , and (82 ,30) are the vertices of an obtuse...

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  3. Area of the rhombus bounded by the four lines, ax +- by +-c = 0 is

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  4. If x cos alpha + y sin alpha = - sin alpha tan alpha be the equation o...

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  5. The coordinates of the points A and B are, respectively, (-3, 2) and (...

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  6. If A(x1,y1),B(x2,y2),C(x3,y3) are the vertices of the triangle then sh...

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  7. Given four lines whose equations are x +2y -3=0, 2x+3y-4=0, 3x + 4y -7...

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  8. A ray of light coming fromthe point (1, 2) is reflected at a point A o...

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  9. If Delta(1), Delta(2), Delta(3) are the areas of the triangles with ve...

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  10. The orthocentre of the triangle formed by the lines y=0, (1+t)x-ty+t(1...

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  11. A(3,0) and B(6,0) are two fixed points and U(x1,y1) is a variable poi...

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

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  13. The lines x+2y+3=0,x+2y-7=0,a n d2x-y-4=0 are the sides of a square. T...

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  14. The distance between the orthocentre and the circumcentre of the trian...

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  15. The centroid of a triangle lies at the origin and the coordinates of i...

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  16. The line 3x+2y=24 meets the y-axis at A and the x-axis at Bdot The per...

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  17. The straight lines 4x-3y-5=0, x-2y=0, 7x+y-40=0 and x+3y+10=0 from

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  18. The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent...

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  19. If the slope of one of the lines represented by ax^(2)+2hxy+by^(2)=0 b...

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  20. The locus represented by the equation (x-y+c)^(2)+(x+y-c)^(2)=0 is

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