Q67.If two vertices of a triangle are (5, −1) and (−2, 3) and its orthocentre is at (0, 0), then the third vertex is (1) (4, −7) (2) (−4, −7) (3) (−4, 7) (4) (4, 7)
What This Question Tests
Requires applying the properties of orthocentre, slopes of altitudes, and perpendicular lines to find the coordinates of the third vertex of a triangle.
Concepts Tested
Formulas Used
m = (y2-y1)/(x2-x1)
m1*m2 = -1
📚 NCERT Sections This Tests
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
5.12 — Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 · Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
5.11 — Draw All The Isomers (Geometrical And Optical) Of:
Chemistry Class 11 · Chapter 5
5.11 Draw all the isomers (geometrical and optical) of: (i) [CoCl2(en)2] + (ii) [Co(NH3)Cl(en)2] 2+ (iii) [Co(NH3)2Cl2(en)]+
📋 Question Details
- Chapter
- Straight Lines
- Topic
- Orthocentre of a triangle
- Year
- 2012
- Shift
- 12 May Online
- Q Number
- Q67
- Type
- MCQ
- 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