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The straight lines L = x+y+1=0 and L1 =x...

The straight lines `L = x+y+1=0 and L_1 =x+2y+3 = 0` are intersecting,'m' is the Slope of the straight line `L_2` such that L is the bisector of the angle between `L_1 and L_2` . The value of `m^2` is

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The straight lines L=x+y+1=0 and L_(1)=x+2y+3=0 are intersecting 'm 'me slope of the straight line L_(2) such that L is the bisector of the angle between L_(1) and L_(2). The value of m^(2) is

Straight Lines L1

Straight Line L2

Straight Line L1

The lines L_(1) : y - x = 0 and L_(2) : 2x + y = 0 intersect the line L_(3) : y + 2 = 0 at P and Q respectively . The bisectors of the acute angle between L_(1) and L_(2) intersect L_(3) at R . Statement 1 : The ratio PR : RQ equals 2sqrt2 : sqrt5 Statement - 2 : In any triangle , bisector of an angle divides the triangle into two similar triangles .

In xy-plane, a straight line L_1 bisects the 1st quadrant and another straight line L_2 trisects the 2nd quadrant being closer to the axis of y . The acute angle between L_1 and L_2 is

Let L_(1) and L_(2) be the foollowing straight lines. L_(1): (x-1)/(1)=(y)/(-1)=(z-1)/(3) and L_(2): (x-1)/(-3)=(y)/(-1)=(z-1)/(1) Suppose the striight line L:(x-alpha)/(l)=(y-m)/(m)=(z-gamma)/(-2) lies in the plane containing L_(1) and L_(2) and passes throug the point of intersection of L_(1) and L_(2) if the L bisects the acute angle between the lines L_(1) and L_(2) , then which of the following statements is /are TRUE ?

MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)
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  2. A(a+1, a-1), B(a^(2)+1, a^(2)-1) and C(a^(3)+1,a^(3)-1) are given poin...

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  3. Vertices of a triangle are (0,0),(41alpha,37)and (-37,41beta), where ...

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  4. If O is the origin anf A(n) is the point with coordinates (n,n+1) then...

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  5. Two point B(x(1), y(1)) and C(x(2), y(2)) are such that x(1), x(2) are...

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  6. L is a line passing through the origin and making an angle theta with ...

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  7. L(1) is a line passing through the point A(n,n+1) having slope, n, L(2...

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  8. A variable plane at a distance of 1 unit from the origin cuts the axes...

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  9. For every interger n, a line L(n) is drawn through the point P(n)(n, n...

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  10. Line 4x+5y-7=0 meets the coordinate axes at A and B. Through the mid -...

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  11. A(1), A(2) are two arithmetic means between two positive real numbers ...

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  12. Reflection of the point A (5, 12) in the line y=x tan theta is P(alpha...

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  13. If area of the parallelogram formed by the lines x+3y-a=0, 3x-2y+3a=0,...

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  14. 7. If the orthocentre of the triangle formed by the lines 2x+3y-1 0, x...

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  15. Lines x=n, y=n^(3) intersect at the point A(n).L(n) is a line through ...

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  16. The straight lines L = x+y+1=0 and L1 =x+2y+3 = 0 are intersecting,'m'...

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  17. If the coordinates of the orthocentre of the triangle formed by the li...

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  18. One diagonal of a square is the portion of the line x//97+y//79=1 inte...

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  19. A straight line passing through the point (87, 33) cuts the positive d...

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  20. If A1,A2......An are points on the line y = x lying in the positive qu...

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