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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) = Description: Description: Vitjee-2014-Maths_files\image014.png
Then Description: Description: Vitjee-2014-Maths_files\image015.png 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 Description: E:\WBJEE\2011\2011_Mathematics_files\image215.png 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