The sides of a `DeltaABC` are `2x-y+5=0; x+y-5=0; x-2y-5=0` If the sum of the tangents of its interior angles is expressed in the lowest form `p/q` then find the least value of `p+q`

The sides of a Delta ABC are 2x-y+5=0;x+y-5=0 and x-2y-5=0 .Sum of the tangents of its interiorangles is

Consider three lines as follows.L_(1):5x-y+4=0,L_(2):3x-y+5=0,L_(3):x+y+5=0 If these lines enclose a triangle ABC and the sum of the squares of the tangent to the interior angles can be expressed in the form (p)/(q), where p and q are relatively prime numbers,then the value of p+q is:

Consider three lines as follows. L_1:5x-y+4=0 L_2:3x-y+5=0 L_3: x+y+8=0 If these lines enclose a triangle A B C and the sum of the squares of the tangent to the interior angles can be expressed in the form p/q , where p and q are relatively prime numbers, then the value of p+q is

Consider three lines as follows. L_1:5x-y+4=0 L_2:3x-y+5=0 L_3: x+y+8=0 If these lines enclose a triangle A B C and the sum of the squares of the tangent to the interior angles can be expressed in the form p/q , where pa n dq are relatively prime numbers, then the value of p+q is (a) 500 (b) 450 (c) 230 (d) 465

Consider three lines as follows. L_1:5x-y+4=0 L_2:3x-y+5=0 L_3: x+y+8=0 If these lines enclose a triangle A B C and the sum of the squares of the tangent to the interior angles can be expressed in the form p/q , where pa n dq are relatively prime numbers, then the value of p+q is

Consider three lines as follows. L_1:5x-y+4=0 L_2:3x-y+5=0 L_3: x+y+8=0 If these lines enclose a triangle A B C and the sum of the squares of the tangent to the interior angles can be expressed in the form p/q , where pa n dq are relatively prime numbers, then the value of p+q is 500 (b) 450 (c) 230 (d) 565

Consider three lines as follows. L_1:5x-y+4=0 L_2:3x-y+5=0 L_3: x+y+8=0 If these lines enclose a triangle A B C and the sum of the squares of the tangent to the interior angles can be expressed in the form p/q , where pa n dq are relatively prime numbers, then the value of p+q is (a) 500 (b) 450 (c) 230 (d) 465

Consider three lines as follows. L_1:5x-y+4=0 L_2:3x-y+5=0 L_3: x+y+8=0 If these lines enclose a triangle A B C and the sum of the squares of the tangent to the interior angles can be expressed in the form p/q , where pa n dq are relatively prime numbers, then the value of p+q is (a)500 (b) 450 (c) 230 (d) 465

Let x=sqrt(3-sqrt5) and y=sqrt(3+sqrt5) If the value of the expression x-y+2x^2y+2xy^2-x^4y+xy^4 can be expressed in the form sqrtp+sqrtq where p. q in N, then find the value of (p+q).

The equations of the sides AB and CA of a DeltaABC are x+2y=0 and x-y=3 respectively. Given a fixed point P(2, 3). Q. Let the equation of BC is x+py=q . Then the value of (p+q) if P be the centroid of the DeltaABC is :