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If p1a n d\ p2 are the lengths of te per...

If `p_1a n d\ p_2` are the lengths of te perpendiculars from the origin upon the lines `x\ s e ctheta+h y cos e ctheta=a\ a n d\ xcostheta-ysintheta=acos2theta` respectively, then `a.4p1 2+p2 2=a^2` b. `p1 2-4p2 2=a^2` c. `p1 2+p2 2=a^2` d. none of these

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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. The number of real values of lambda for which the lines x-2y+3=0,\ lam...

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  2. The equations of the sides A B ,\ B C\ a n d\ C A\ of\ "triangle"A B C...

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  3. If p1a n d\ p2 are the lengths of te perpendiculars from the origin ...

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  4. Area of the triangle formed by the points ((a+3)(a+4),\ a+3),\ ((a+2)(...

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  5. If a+b+c=0 , then the family of lines 3a x+b y+2c=0 pass through fixed...

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  6. The line segment joining the points (-3,-4), and (1,-2) is divided by ...

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  7. The area of a triangle with vertices at (-4,-1), (1,2) and (4,-3) is ...

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  8. The line segment joining the points (1,2) and (-2,1) is divided by the...

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  9. If the point (5,2) bisects the intercept of a line between the axes, ...

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  10. A\ (6,3),\ B(-3,5),\ C(4,-2)\ a n d\ D(x ,3x) are four points. If Delt...

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  11. If p be the length of the perpendicular from the origin on the line x/...

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  12. The equation of the line passing through (1,5) and perpendicular to th...

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  13. The figure formed by the lines a x+-y+-c=0 is a. a rectangle b. a squa...

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  14. Two vertices of triangle are (2,-1) and (3,2) and third vertex lies on...

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  15. Find the gradient of a straight line which is passes through the point...

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  16. The angle between the lines 5x+3y-7=0\ a n d\ 15 x+9y+14=0 is a.0^0 b....

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  17. Distance between the lines 5x+3y-7=0\ a n d\ 15 x+9y+14=0 is (35)/(sq...

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  18. The value of lambda for which the lines 3x+4y=5,5x+4y=4\ a n d\ lambda...

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  19. Three vertices of a parallelogram, taken in order, are (-1, -6), (2,...

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  20. The centroid of triangle is (2,7) and two of its vertices are (4,8) ...

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