Welcome To Class : XII Subject : Maths Chapter : 3 Chapter : Theory Of Equations IMPORTANT QUESTIONS 2 & 3 Marks Questions 1. Construct a cubic equation with roots. i) 1,2 and 3 ii) 1,1 and -2 iii) 2, 1/2 and 1 2. Find a poly . equation with integer co efficient with √( √2/ √3) as a root 3. If x²+2(k + 2) x + 9k =0 has equal roots, find K. 4. Find a poly equation of minimum degree with rational coefficients having i) 2 + √3 i ii) 2i + 3 as a root. 5. Solve the equation i) x⁴–9x²+20 =0 ii) x⁴– 14x²+45 =0. 6. Solve the equation 7x³– 43x²= 43x-7. 7. Discuss the nature of the roots of the following polynomial. i) x²⁰¹⁸+1947x¹⁹⁵⁰+ 15x⁸+26x⁶+2019 ii)x⁵–19x⁴+2x³+5x²+11 8. If p and q are the roots of the equation lx²+nx+n=0. Show that √(p/q) + √(q/p) + √(n/l) =0 9. If p and q are the roots of the equation lx2+p1x+q1=0 have a common root , show that it must be equa...
