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The equations to a pair of opposite side...

The equations to a pair of opposite sides of a parallelogram are `x^(2)-5x+6=0` and `y^(2)-6y+5=0`. The equations of its diagonals are

A

`x+4y=13` and `y=4x-7`

B

`4x+y=13` and `4y=x-7`

C

`4x+y=13` and `y=4x-7`

D

`y-4x=13` and `y+4x=7`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(2)(MULTIPLE CHOICE QUESTIONS)
  1. If a pair of opposite vertices of parallelogram are (1,3) and (-2,4) ...

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  2. If 3x+4y+3=0,3x+4y-7=0 and 4x-3y-2=0 be the three sides of a square, t...

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  3. The equations to a pair of opposite sides of a parallelogram are x^(2)...

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  4. The point P(a,b) and Q(b,a) lie on the lines 3x+2y-13=0 and 4x-y-5=0. ...

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  5. How are the points (3,4) and (2,-6) situated w.r.t the line 3x-4y-8=0?

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  6. The sides AB,BC,CD and DA of a quadrilateral are x+2y=3,x=1,x-3y=4,5x...

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  7. The equation of the line through the point (-5,4) such that its segmen...

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  8. Let PS be the median of the triangle with vertices P(2,2), Q(6,-1) an ...

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  9. If A(9,-9),B(1,3) are the ends of a right angled isosceles triangle t...

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  10. A triangle ABC right angled at A has points A and B as (2, 3) and (0, ...

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  11. The medians AD and BE of the triangle with vertices A(0,b),B(0,0) and ...

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  12. The line 4x+y=lamda cuts the axes of co ordinates at A and B. If C is ...

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  13. The equations of perpendicular bisectors of the sides AB and AC of a ...

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  14. The side AB of an isosceles triangle is along the axis of x with verti...

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  15. A straight line through the point (2,2) intersects the line sqrt(3)x+y...

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  16. The line ax+by+c=0 intersects the line x cos alpha+y sinalpha=c at the...

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  17. A line passes through (2,2) and is perpendicular to the line 3x+y=3 .I...

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  18. If the lines x(sinalpha+sinbeta)-ysin(alpha-beta)=3 and x(cosalpha+c...

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  19. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

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  20. The points A(x,y), B(y, z) and C(z,x) represents the vertices of a rig...

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