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WBJEE 2019 Math Revision Quiz 1
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Question 1
Let Z and W be complex numbers such that |Z| = |W|, and arg Z denotes the principal argument of Z.
Statement 1: If arg Z + arg W = π, then
Statement 2: |Z| = |W|, implies arg Z – arg
Question 2
If z1, z2 and z3, z4 are two pairs of conjugate complex numbers, then equals
Question 3
If Δ (x) =
Then is equal to
Then is equal to
Question 4
If A is 3x3 matrix. Given that det(A)=6. Find the det(adj(A)).
Question 5
The equation of the locus of the point of intersection of the straight lines is
Question 6
As system of line is given as y = mix + ci, where mi can take any value out of 0, 1, –1 and when mi is positive then ci can be 1 or –1 when mi equal 0, ci can be 0 or 1 and when mi equals –1, ci can take 0 or 2. Then the area enclosed by all these straight line is
Question 7
If the angle A and B of the triangle ABC satisfy the equation then they differ by
Question 8
The equation has
Question 9
Consider a triangular plot ABC with sides AB = 7 m, BC = 5 m and CA = 6 m. A vertical lamp-post at the mid - point D of AC subtends an angle 30 ° at B. The height (in m) of the lamp-post is :
Question 10
Two men on either side of a tower 75 m high observe the angle of elevation of the top of the tower to be 30o and 60o What is the distance between the two men?
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Jul 28JEE & BITSAT