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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 line L-=X+Y+1=0 and L_1-=X+2Y+3=0 " are intersectiong, 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 .

Given equation of line L_1 is y = 4 Write the slope of line L_1 if L_2 is the bisector of angle O.

Knowledge Check

  • 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 bisector of the acute angle between L_1 and L_2 intersects L_3 at R Statement - 1 : The ratio PR : PQ equals 2sqrt2 : sqrt5 Statement - 2 : In any triangle , bisector of an angle divides the triangle into two similar triangle

    A
    statement - 1 is true, Statement - 2 is true :
    Statement -2 is not correct explanation for statement -1
    B
    Statement -1 is true , Statement -2 is false
    C
    Statement -1 is false, statement -2 is true
    D
    Statement -1 is true statement -2 is true , Statement-2 is a correct explanation for Statement -1

  • 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 .

    A
    Statement -1 is True , Statement - 2 is true , Statement- 2 is a correct explanation for statement - 14
    B
    Statement-1 is True , Statement-2 is True , Statement -2 is not a correct explanation for Statement - 1 .
    C
    Statement-1 is True , Statement - 2 is False .
    D
    Statement - 1 is False , Statement -2 is True .

  • 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

    A
    `60^@`
    B
    `120^@`
    C
    `90^@`
    D
    `75^@`

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    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 .

    Consider two lines L_1:2x+y=4 and L_2:(2x-y=2) .Find the angle between L1 and L2 .

    Lines L_(1) : y-c=0 and L_(2) : 2x+y=0 intersect the line L_(3) : y+2=0 at P and Q respectively. The bisector of the acute angle between L_(1) and L_(2) intersects L_(3) at R . Statement I The ratio PR : RQ equals 2sqrt(2) : sqrt(5) . Because Statement II In any triangle, bisector of an angle divides the triangle into two similar triangles.

    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 bisector of the acute angle between L_(1) " and " L_(2) " intersects " L_(3) at R. Statement 1 : The ratio PR : RQ equals 2sqrt(2) : sqrt(5). Statement 2: In any triangle, bisector of an angle divides the triangle into two similar triangles.1

    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 bisector of the acute angle between L_(1) and L_(2) intersects L_(3) at R. Statement-I: The ratio PR: RQ equals 2sqrt(2):sqrt(5) because. Statement II: In any triangle bisector of an angle divides the triangle into two similar triangles.

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