If equations `x^2+a x+12=0. x^2+b x+15=0a n dx^2+(a+b)x+36=0,` have a common positive root, then find the values of `aa n dbdot`

If a ,b ,c in R and equations a x^2+b x+c=0a n dx^2+2x+9=0 have a common a rot, then find a : b : c dot

If a x^2+b x+6=0 does not have distinct real roots, then find the least value of 3a+bdot

If the equation x^(3)+k x^(2)+3=0 and x^(2)+k x+3=0 have a common root, then the value k .

If ("lim")_(xvec0)(a e^x-b)/x = 2 , then find the value of aa n dbdot

If x^2+3x+5=0a n da x^2+b x+c=0 have common root/roots and a ,b ,c in N , then find the minimum value of a+b+c

If the quadratic equations 3 x^(2)+a x+1=0 and 2 x^(2)+b x+1=0 have a common root, then the value of the expression 5 a b-2 a^(2)-3 b^(2) is

For a ne b , if the equation x^(2)+ax+b=0" and "x^(2)+bx+a=0 have a common root, then the value of a+b=

If the equation 4x^2-x-1=0a n d3x^2+(lambda+mu)x+lambda-mu=0 have a root common, then the rational values of lambdaa n dmu are a. lambda=(-3)/4 b. lambda=0 c. mu=3/4 b. mu=0

If the equation x^2-3p x+2q=0a n dx^2-3a x+2b=0 have a common roots and the other roots of the second equation is the reciprocal of the other roots of the first, then (2-2b)^2 . a. 36p a(q-b)^2 b. 18p a(q-b)^2 c. 36b q(p-a)^2 d. 18b q(p-a)^2

If the equations 2x^(2)-7x+1=0 and ax^(2)+bx+2=0 have a common root, then