Q73.If the line, 2 x −y + 3 = 0 is at a distance 1 and 2 from the lines 4x −2y + α = 0 and 6x −3y + β = 0 √5 √5 respectively, then the sum of all possible values of α and β is ____________.
What This Question Tests
This question involves identifying parallel lines, normalizing their equations, and applying the formula for the distance between parallel lines, leading to solving equations involving absolute values.
Concepts Tested
Formulas Used
Distance between Ax+By+C1=0 and Ax+By+C2=0 is |C1-C2|/√(A²+B²)
📚 NCERT Sections This Tests
2.3 — Two Charges 2 Mc And –2 Mc Are Placed At Points A And B 6 Cm
Physics Class 11 · Chapter 2
2.3 Two charges 2 mC and –2 mC are placed at points A and B 6 cm apart. (a) Identify an equipotential surface of the system. (b) What is the direction of the electric field at every point on this surface?
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
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.
2.5 — A Parallel Plate Capacitor With Air Between The Plates Has A
Physics Class 11 · Chapter 2
2.5 A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10–12 F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?
📋 Question Details
- Chapter
- Straight Lines
- Topic
- Distance between parallel lines
- Year
- 2020
- Shift
- 05 Sep Shift 1
- Q Number
- Q73
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
More from this Chapter
Q91.Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1 , then the set of values which ' k ' can take is given by (1) {1, 3} (2) {0, 2} (3) {−1, 3} (4) {−3, −2}
Q92.Let P = (−1, 0), Q = (0, 0) and R = (3, 3√3) be three points. The equation of the bisector of the angle PQR (1) √3x + y = 0 (2) x + √32 y = 0 (3) √3 x + y = 0 (4) x + √3y = 0 2
Q93.If one of the lines of my2 + (1 −m2)xy −mx2 = 0 is a bisector of the angle between the lines xy = 0 , then m is JEE Main 2007 JEE Main Previous Year Paper (1) −1/2 (2) −2 (3) 1 (4) 2
Q66.The lines p (p2 + 1)x −y + q = 0 and (p2 + 1)2x + (p2 + 1)y + 2q = 0 are perpendicular to a common line for (1) no value of p (2) exactly one value of p (3) exactly two values of p (4) more than two values of p