If the area of a triangle with vertices (–3, 0), (3, 0) and (0, k) is 9 square units, then what is the value of k
1 Crore+ students have signed up on EduRev. Have you? Download the App |
If X = {(4n – 3n – 1) | n ∈ N} and Y = {9 (n – 1) | n ∈ N}, then what is equal to?
Sets A and B have n elements in common. How many elements will (A x B) and (B x A) have in common?
If is the imaginary cube root of unity, then what is (2 – ω + 2ω2)27 equal to
If x = (1101)2 and y = (110)2, then what is the value of x2 – y2
If (10 x010)2 – (11y1)2 = (10z11)2, then what are the possible values of the binary digits x, y, z respectively
If the sum of the first two terms and the sum of the first four terms of a geometric progression with positive common ratio are 8 and 80 respectively, then what is the 6th term?
If x > 1 and log2 x, log3 x, logx 16 are in GP, then what is x equal to?
The harmonic mean of two numbers is 21.6. If one of the numbers is 27, then what is the other number?
If α and β are the roots of the equation x2 – 2x + 4 = 0, then what is the value of α3 + β3?
If a, b and c are real numbers, then roots of the equation (x – a) (x – b) + (x – b) (x – c) + (x – c) (x – a) = 0 are always
If x = 2 + 21/3 + 22/3, then what is the value of x3 – 6x2 + 6x?
Using the digits 1, 2, 3, 4 and 5 only once, how many numbers greater than 41000 can be formed?
A, B, C, D and E are coplanar points and three of them lie in a straight line. What is the maximum number of triangles that can be drawn with these points as their vertices?
What is the number of ways of arranging the letters of the word 'BANANA', so that no two N's appear together?
What is the number of terms in the expansion of (a + b + c)n, n ∈ N?
The value of (yz)log y – log z x (zx)log z – log x x (xy)log x – log y is equal to
Two poles are 10 m and 20 m high. The line joining their tops makes an angle of 15o with the horizontal. What is the approximate distance between the poles?
From the top of a lighthouse 120 m above the see, the angle of depression of a boat is 15o. What is the (approx) distance of the boat from the lighthouse?