Second Degree Equations
Kerala Board · Class 10 · Mathematics
Most important questions from Second Degree Equations for Kerala Board Class 10 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
Interactive on Super Tutor
Studying Second Degree Equations? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.
1,000+ Class 10 students started this chapter today
Sample Questions
Solve the equation (x - 5)² = 36. What are the possible values of x?
Show answer
x = 11, x = -1
From (x - 5)² = 36, we get x - 5 = ±6. So x - 5 = 6 gives x = 11, and x - 5 = -6 gives x = -1. Both solutions are valid algebraically.
Which of the following expressions can be written as perfect squares?
Show answer
x² + 6x + 9, x² - 10x + 25, x² - 8x + 16
x² + 6x + 9 = (x+3)², x² - 10x + 25 = (x-5)², x² - 8x + 16 = (x-4)². But x² + 4x + 5 cannot be written as a perfect square since 4² ≠ 4×4 = 16 ≠ 5×4 = 20.
A right triangle has perpendicular sides where one is 3 cm more than the other. If the area is 35 cm², what are the lengths of these sides?
Show answer
7 cm and 10 cm
Let the shorter side be x cm, longer side = (x+3) cm. Area = ½x(x+3) = 35, so x(x+3) = 70. This gives x² + 3x = 70. Completing square: x² + 3x + 9/4 = 70 + 9/4 = 289/4. So (x + 3/2)² = 289/4, x + 3/2 = 17/2, x = 7. Sides are 7 cm and 10 cm.
If x² - 12x + 36 = 0, what is the value of x?
Show answer
6
Notice that x² - 12x + 36 = (x-6)². So the equation becomes (x-6)² = 0, which means x-6 = 0, therefore x = 6. This is a perfect square trinomial with only one solution.
+26 more questions available
Practice AllFrequently Asked Questions
What are the important topics in Second Degree Equations for Kerala Board Class 10 Mathematics?
How to score full marks in Second Degree Equations — Kerala Board Class 10 Mathematics?
How many important questions are there in Second Degree Equations?
Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Second Degree Equations
Practice Quiz
Test yourself with a quick quiz
Revision Notes
Key points for last-minute revision
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect visually
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full Second Degree Equations chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Kerala Board Class 10 Mathematics.