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. The lines `(a+b)x + (a-b) y-2ab=0, (a-b)x+(a+b)y-2ab = 0 and x+y=0` form an isosceles triangle whose vertical angle is

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Two sides of a triangle are (a + b) x + (a-b)y-2ab = 0 and (a-b)x + (a + b)y-2ab = 0 . If the triangle is isosceles and the third side passes through point (b- a, a -b) , then the equation of third side can be

Two sides of a triangle are (a + b) x + (a-b)y-2ab = 0 and (a-b)x + (a + b)y-2ab = 0 . If the triangle is isosceles and the third side passes through point (b- a, a -b) , then the equation of third side can be

Triangle formed by variable lines (a+b)x+(a-b)y-2ab=0 and (a-b)x+(a+b)y-2ab=0 and x+y=0 is (where a, b in R )

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2(a x-b y)+(a+4b)=0 , 2(b x+a y)+(b-4a)=0

In a triangle ABC , if the equation of sides AB,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively ,Tangent of internal angle A is equal to

The straight lines x+y=0, 3x+y-4=0 and x+3y-4=0 form a triangle which is (A) isosceles (B) right angled (C) equilateral (D) scalene

Given three straight lines 2x+11 y-5=0,24 x+7y-20=0, and 4x-3y-2=0 . Then, a)they form a triangle b)one line bisects the angle between the other two c) two of them are parallel

If the straight lines 2x+3y-1=0,x+2y-1=0 ,and a x+b y-1=0 form a triangle with the origin as orthocentre, then (a , b) is given by (a) (6,4) (b) (-3,3) (c) (-8,8) (d) (0,7)

Prove that the lines (b-c)x+(c-a)y+(a-b)=0, (c-a)x+(a-b)y+(b-c)=0 and (a-b)x+(b-c)y+(c-a)=0 are concurrent.

RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. Classify the following pairs of lines as coincident, parallel or int...

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  2. Find the slope of the lines which make an angle of 45^0 with the line ...

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  3. . The lines (a+b)x + (a-b) y-2ab=0, (a-b)x+(a+b)y-2ab = 0 and x+y=0 f...

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  4. If the point as (4,7) and (costheta,sintheta) , where 0<theta<pi , lie...

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  5. Find the centroid and in-centre of the triangle, equations of whose s...

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  6. The vertices of a triangle are [a t1t2,a(t1 +t2)], [a t2t3,a(t2 +t3)],...

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  7. Find the tangent of the angle between the lines whose intercepts on th...

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  8. Find the value of k if the straight line 2x+3y+4+k(6x-y+12)=0 is perpe...

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  9. Find the values of beta so that the point (0,beta) lies on or inside t...

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  10. Find the values of alpha so that the point P(alpha^2,alpha) lies insid...

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  11. Prove that the area of the parallelogram formed by the lines a1x+b1y+c...

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  12. Show that the diagonals of the parallelogram whose sides are l x+m y+n...

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  13. Find the ratio in which the line 3x+4y+2=0 divides the distance betwee...

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  14. Prove that the area of the parallelogram formed by the lines xcosalpha...

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  15. Find the equation of the perpendicular bisector of the line segment ...

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  16. The vertices of a triangle are A(10 ,4),B(-4,0)a n dC(-2, 8)dot Find t...

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  17. Two sides of a square lie on the lines x+y=1a n dx+y+2=0. What is its ...

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  18. Prove that the line 5x-2y-1=0 is mid-parallel ot the lines 5x-2y-9=0a ...

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  19. Find the equation of a line that has y - intercept 4 and is perpendic...

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  20. P1, P2 are points on either of the two line y-sqrt(3)|x|=2 at a distan...

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