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Prove that the area of the parallelogram...

Prove that the area of the parallelogram formed by the lines `3x-4y+a=0,\ 3x-4y+3a=0,\ 4x-3y-a=0\ a n d\ 4x-3y-2a=0\ i s(2a^2)/7s qdotu n i t sdot`

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CENGAGE ENGLISH-STRAIGHT LINES-All Questions
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  2. A variable line cuts n given concurrent straight lines at A1,A2...An s...

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  3. Prove that the area of the parallelogram formed by the lines 3x-4y+a=0...

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  4. Two sides of a rhombus lying in the first quadrant are given by 3x-4y=...

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  5. The equation of straight line passing through (-2,-7) and having an in...

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  6. Let A B C be a given isosceles triangle with A B=A C . Sides A Ba n dA...

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  7. A B C is an equilateral triangle with A(0,0) and B(a ,0) , (a>0). L, M...

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  8. Let L1=0a n dL2=0 be two fixed lines. A variable line is drawn through...

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  9. Find the points on y-axis whose perpendicular distance from the line ...

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  10. Find all the values of theta for which the point (sin^2theta,sintheta)...

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  11. If p and q are the lengths of perpendiculars from the origin to the ...

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  12. The equations of two sides of a triangle are 3y-x-2=0a n dy+x-2=0. The...

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  13. Prove that the lengths of the perpendiculars from the points (m^2,2m),...

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  14. A triangle has two sides y=m1x and y=m2x where m1 and m2 are the root...

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  15. The ratio in which the line 3x+4y+2=0 divides the distance between 3x+...

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  16. Let A-=(6,7),B-=(2,3)a n dC-=(-2,1) be the vertices of a triangle. Fin...

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  17. Find the equations of lines parallel to 3x-4y-5=0 at a unit distance f...

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  18. Let P (sin theta, cos theta) (0 le theta le 2pi) be a point and let OA...

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  19. Find the equation of a straight line passing through the point (-5,4) ...

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

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