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If the roots of the equation x^{2}  5x + 16 = 0 are a, b and the roots of the equation x^{2} + px + q = 0 are (a^{2} + b^{2}) and , then
The number of the integer solutions of x^{2} + 9 < (x + 3)^{2} < 8x + 25 is
Let a > 0, b > 0 and c > 0. Then both the roots of the equation ax^{2} + bx + c = 0
The set of all solutions of the inequality < 1/4 contains the set
Consider y =, where x is real, then the range of expression y^{2} + y – 2 is
The values of k, for which the equation x^{2} + 2(k – 1) x + k + 5 = 0 possess atleast one positive root, are
If coefficients of the equation ax^{2} + bx + c = 0, a < 0 are real and roots of the equation are non–real complex and a + c + b < 0, then
If the roots of the equation x^{2} + 2ax + b = 0 are real and distinct and they differ by at most 2m, then b lies in the interval
If the roots of the quadratic equation x^{2} + px + q = 0 are tan 30º and tan 15º respectively, then the value of 2 + q – p is
If (1 – p) is root of quadratic equation x^{2} + px + (1 – p) = 0, then its roots are
The values of x and y besides y can satisfy the equation (x, y ∈ real numbers) x^{2}– xy + y^{2} – 4x – 4y + 16 = 0
For what value of a and b the equation x^{4} – 4x^{3} + ax^{2} + bx + 1 = 0 has four real positive roots ?
If a, b are roots of the equation ax^{2} + bx + c = 0, then the value of a^{3} + b^{3} is
If z_{1} = 2 + i, z_{2} = 1 + 3i, then Re ( z_{1}  z_{2}) =
If a, b are roots of the equation ax^{2} + bx + c = 0 then the equation whose roots are 2a + 3b and 3a + 2b is
If S is the set of all real x such that is positive, then S contains
209 videos443 docs143 tests

JEE Advanced Previous Year Questions (2018  2023): Complex Numbers Doc  7 pages 
Test: Geometry Of Complex Numbers Test  10 ques 
Important Formulas: Complex Numbers & Quadratic Equations Doc  14 pages 
Flashcards: Complex Number and Quadratic Equations Doc  74 pages 
Argand Plane and Polar Representation Video  13:57 min 
209 videos443 docs143 tests

JEE Advanced Previous Year Questions (2018  2023): Complex Numbers Doc  7 pages 
Test: Geometry Of Complex Numbers Test  10 ques 
Important Formulas: Complex Numbers & Quadratic Equations Doc  14 pages 
Flashcards: Complex Number and Quadratic Equations Doc  74 pages 
Argand Plane and Polar Representation Video  13:57 min 