Q). Condition that the root of Equation X^3-PX^2+QX-R=0 may be in G.P( B.Sc.Maths)

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Q). Condition for the roots of the equation X^3-PX^2+QX-R may be in A.P(B.Sc.Maths) Q). Condition for the roots of the equation X^3-PX^2+QX-R may be in A.P(B.Sc.Maths)
Find the condition that `x^3-px^2+qx-r=0` may have the sum of its roots |Class 12 MATH | Doubtnut Find the condition that `x^3-px^2+qx-r=0` may have the sum of its roots |Class 12 MATH | Doubtnut
29#Find the Condition that x³ - px² + qx - r = 0 may have the sum of the two of its roots zero 29#Find the Condition that x³ - px² + qx - r = 0 may have the sum of the two of its roots zero
Find the condition that x^3-px^2+qx-r=0 may have the sum of two of its roots zero #maths #shorts Find the condition that x^3-px^2+qx-r=0 may have the sum of two of its roots zero #maths #shorts
If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then | 11 | QUADRATIC EXP... If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then | 11 | QUADRATIC EXP...
Find the condition that x^3-px^2+qx-r=0 may have the sum of its roots zero . | 12 | THEORY OF E... Find the condition that x^3-px^2+qx-r=0 may have the sum of its roots zero . | 12 | THEORY OF E...
The condition that the product of two of the roots of x^(3)+px^(2)+qx+r=0 may be -1 is | CLASS... The condition that the product of two of the roots of x^(3)+px^(2)+qx+r=0 may be -1 is | CLASS...
If the roots of equation x^3 + px^2 + qx + r =0 are in AP, prove that 2p^3 - 9pq + 27r =0 If the roots of equation x^3 + px^2 + qx + r =0 are in AP, prove that 2p^3 - 9pq + 27r =0