" (i) "x+sqrt(3)y+6=0

Assertion(A) : If the line x = 3y+k touches the parabola 3y^(2) = 4x then k = 5 Reason (R) : Equation to the tangent y^(2)= 8x inclimed at an angle 30^(@) to the axis is x- sqrt(3)y+6=0

Assertion(A) : If the line x = 3y+k touches the parabola 3y^(2) = 4x then k = 5 Reason (R) : Equation to the tangent y^(2)= 8x inclimed at an angle 30^(@) to the axis is x- sqrt(3)y+6=0

Find the inclination of the line (i) x+sqrt3y+6=0 (ii) 3x+3y+8=0 (iii) sqrt3x-y-4=0

{:(sqrt(5)x - sqrt(7)y = 0),(sqrt(7)x - sqrt(3)y = 0):}

{:(sqrt(5)x - sqrt(7)y = 0),(sqrt(7)x - sqrt(3)y = 0):}

sqrt (2x) -sqrt (3y) = 0sqrt (3x) -sqrt (3y) = 0

If the quadrilateral formed by the lines ax+by+c=0, 6sqrt(3)x+8sqrt(3)y+k=0 , ax+by+k=0 and 6sqrt(3)x + 8sqrt(3)y+c=0 has diagonals at right angles, then the value of a^2 +b^2 = …

If the quadrilateral formed by the lines ax+by+c=0, 6sqrt(3)x+8sqrt(3)y+k=0 , ax+by+k=0 and 6sqrt(3)x + 8sqrt(3)y+c=0 has diagonals at right angles, then the value of a^2 +b^2 = …

The equation of a line whose inclination is (5pi)/(6) and which cuts off an intercept of 4 units on negative direction of y-axis is (i) x+sqrt(3)y+4sqrt(3)=0 (ii) x-sqrt(3)y+4sqrt(3)=0 (iii) x+sqrt(3)y-4sqrt(3)=0 (iv) x-sqrt(3)y-4sqrt(3)=0

sqrt(2)x + sqrt(3)y=0 sqrt(5)x - sqrt(2)y=0