If x_ 1 be the roots of x^ 2 +p x+q=0 and y, be the roots of x^ 2 +p x+r=0 then ( - )( …
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
\[If \(x_{1} \beta\) be the roots of \(x^{2}+p x+q=0\)
and \(y, \delta\) be the roots of \(x^{2}+p x+r=0\)
then \(\frac{(\pi-\gamma)(\pi-\delta)}{(\beta-\gamma)(\beta-\delta)}=\]
- 1
- q
- r
- q + r
Answer
(A) 1
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The roots of the equation |x 2 – x – 6| = x + 2 are
- If 1, _ 1 ^ 2 are cube roots of unity, then (1+ ) (1+ ^ 2 ) (1+ ^ 4 ) (1+ ^ 6 ) is equal to
- If p, q, r be in HP and p and r be different having same sign, then the roots of the equation p x^ 2 +2 q…
- If the equation x^ 2 +b x+45=0(b R) has conjugate complex roots and they satisfy |z+1|=2 10 , then:
- Let a _ 1 be real and z be a complex number, z^ 2 + z+ =0 has two distinct roots on the line Re z = 1, then…
- If z is a complex number of unit modulus and argument θ, then arg ( 1+z 1+ z ) equals:
- The value of _ k =1 ^ 6 ( 2 k 7 -i 2 k 7 ) is k i , then value of k is
- If P, Q, R, S are represented by the complex numbers 4 + i, 1 + 6i, - 4 + 3i, - 1 - 2i respectively, then…
More Complex Numbers and Quadratic Equations questions · Browse all practice questions