Q1
The product of the roots of $x^2 - 7x + 10 = 0$ is:
📝 SolutionProduct of roots $= \frac{c}{a} = \frac{10}{1} = 10$.
Q2
For $2x^2 + 4x + 2 = 0$, the discriminant is:
📝 Solution$D = b^2 - 4ac = 4^2 - 4(2)(2) = 16 - 16 = 0$. Equal roots.
Q3
If one root of $x^2 - 6x + k = 0$ is 2, then $k$ is:
📝 SolutionSubstitute $x = 2$: $4 - 12 + k = 0$, so $k = 8$.
Q4
The quadratic equation whose roots are 3 and -2 is:
📝 SolutionSum of roots $= 3 + (-2) = 1$, product $= -6$. Equation: $x^2 - (\text{sum})x + \text{product} = x^2 - x - 6 = 0$.
Q5
The roots of $x^2 = 16$ are:
📝 Solution$x^2 = 16$ gives $x = \pm 4$, i.e. both 4 and -4.
🔔 Don't miss tomorrow's DPP!
Get a new DPP every morning, straight to WhatsApp — free.
📱 Get DPP on WhatsApp
Class 10 · Maths
Class 10 Maths Board Exam Revision Kit
Formula sheet, MCQ practice & timed mock test — get ready for the board exam.
₹99 ₹249
View Kit — Instant Download