Q20.Two equal sides of an isosceles triangle are along −x + 2y = 4 and x + y = 4. If m is the slope of its third side, then the sum, of all possible distinct values of m, is : (1) −2√10 (2) 12 (3) 6 (4) −6
What This Question Tests
This question involves using the properties of an isosceles triangle, specifically the equality of angles between the base and the equal sides, to find the possible slopes of the third side by applying the angle formula between lines.
Concepts Tested
Formulas Used
tan θ = |(m1-m2)/(1+m1m2)|
Angle properties of isosceles triangle
📚 NCERT Sections This Tests
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Chemistry Class 11 · Chapter 5
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2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
📋 Question Details
- Chapter
- Straight Lines
- Topic
- Geometry of isosceles triangles, Angle between lines
- Year
- 2025
- Shift
- 28 Jan Shift 2
- Q Number
- Q20
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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