JEE & NEETJEE Mathematics

JEE Main Maths 100+ MCQ & Answer | Page-06 | JEE & NEET MCQ

51.
If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x.

52.
Using determinants, find the equation of the line joining the points (1, 2) and (3, 6).

53.
If for the non-singular matrix A, A2 = I, then find A-1.

54.
A non-trivial solution of the system of equations x + λy + 2z = 0, 2x + λz = 0, 2λx – 2y + 3z = 0 is given by x : y : z =

55.
If 4x + 3y + 6z = 25, x + 5y + 7z = 13, 2x + 9y + z = 1, then z = ________

56.
If the equations 2x + 3y + z = 0, 3x + y – 2z = 0 and ax + 2y – bz = 0 has non-trivial solution, then

57.
If the system of equations x + ky – z = 0, 3x – ky – z = 0 & x – 3y + z = 0 has non-zero solution, then k is equal to

58.
Find the area of the triangle with vertices P(4, 5), Q(4, -2) and R(-6, 2).

59.
If the points (2, -3), (k, -1) and (0, 4) are collinear, then find the value of 4k.

60.
Find the area of the triangle whose vertices are (-2, 6), (3, -6) and (1, 5).

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