New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

Quadratic Equation and Inequalities · 2005 · Shift 0

6 Mathematics questions from this JEE Main paper

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Main
Papers
2005 · Shift 0
Mathematics
Quadratic Equation and Inequalities

Quadratic Equation and Inequalities · 2005 · Shift 0

6 Mathematics questions from this JEE Main paper

Q68.If the roots of the equation $x^{2} - b x + c = 0$ be two consecutive integers, then $b^{2} - 4 c$ equals
Mathematics · Quadratic Equation and Inequalities · MCQ
Q69.The value of $a$ for which the sum of the squares of the roots of the equation $x^{2} - (a - 2) x - a - 1 = 0$ assume the least value is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q96.In a triangle $P QR, ∠ R = \frac{π}{2} . I f tan (\frac{P}{2})$ and $tan (\frac{Q}{2})$ are the roots of $a x^{2} + b x + c = 0, a e 0$ then
Mathematics · Quadratic Equation and Inequalities · MCQ
Q97.If both the roots of the quadratic equation $x^{2} - 2 k x + k^{2} + k - 5 = 0$ are less than 5, then $k$ lies in the interval
Mathematics · Quadratic Equation and Inequalities · MCQ
Q109.The value of $a$ for which the sum of the squares of the roots of the equation $x^{2} - (a - 2) x - a - 1 = 0$ assume the least value is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q111.If the roots of the equation $x^{2} - b x + c = 0$ be two consecutive integers, then $b^{2} - 4 c$ equals
Mathematics · Quadratic Equation and Inequalities · MCQ