Let `1 lt m lt 3. ln a Delta ABC, if 2b= (m+1) a and cos A=1/2 sqrt(((m-1)(m+3))/(m)),` prove that there are two values to the third side, one of which is m times the other.

Let 1 < m < 3. In a triangle ABC , if 2b=(m+1) a & cosA=1/2sqrt(((m-1)(m+3))/m) prove that the are two values to the third side, one of which is m times the other.

If in triangle ABC, (a=(1+sqrt(3))c m ,b=2c m ,a n d/_C=60^0 , then find the other two angles and the third side.

If in triangle ABC, (a=(1+sqrt(3))c m ,b=2c m ,a n d/_C=60^0 , then find the other two angles and the third side.

If tanA=m/(m-1)\ a n d tanB=1/(2m-1), then prove that A-B=\ pi/4

If (m^2-3)x^2+3mx+ 3m+1=0 has roots which are reciprocals of each other, then the value of m equals to

If (-5)/(2)lt-2m+1lt(-7)/(5) , what is the greatest possible integer value of the expression 10m-5 ?

If the value of m^4+1/m^4=119 then the value of |m^3-1/m^3| =

A triangle has two of its sides along the lines y=m_1x&y=m_2x where m_1, m_2 are the roots of the equation 3x^2+10 x+1=0 and H(6,2) be the orthocentre of the triangle. If the equation of the third side of the triangle is a x+b y+1=0 , then a=3 (b) b=1 (c) a=4 (d) b=-2

A triangle has two of its sides along the lines y=m_1x&y=m_2x where m_1, m_2 are the roots of the equation 3x^2+10 x+1=0 and H(6,2) be the orthocentre of the triangle. If the equation of the third side of the triangle is a x+b y+1=0 , then a=3 (b) b=1 (c) a=4 (d) b=-2

If tanA=m+1 and tanB=m-1 , prove that tan(A-B)=2/(m^(2)) .