The system of equations2x-3y-5 = 0, 15y-10x+ 50 = 0(a) has a unique solution(b) has infinitely

In a class of 45 students, 34 like to play cricket and 26 like to play football. Further,

What is the value of the determinant of the inverse of the matrix -4 -51 ? 221 (a) 2(b) 1(c) 2(d) 4

What is the remainder when 5power99 is divided by 13?(a) 10(b) 9(c) 8(d) 6

If -1+√-3 α = 2 then what is the value of (1+α19 - α 35,100 – (1 – 3α 25 +α 38,50?(a) -2(b) -1

How many terms are identical in the two APs 19, 21, 23, ... up to 110 terms and 19, 22, 25, 28,

how many terms of the series 1 + 3 + 5 + 7 +... amount to a sum equal to 12345678987654321?

If and (10 + log_10(z)) are in AP, then consider (10 + log_10(y)) (10 + log_10(x)) the

Let y=x! and z = (2x)!. If (z/y) = 120, then what is the value of (3x)!?(a) 362880(b) 181440

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If wis a non-real cube root of unity, then what is a root of the following equation?det

If A² + B² + C2 = 0. then what is the value of the following?1 cos C cos B Cos C 1 #nda #class12

If 2 3-i -1 3+i 0 -1-1 where i = √-1, then what is A + B equal to? -1 i-1=A+iB #nda #class12

Consider the following statements in respect of the determinant Delta = det #nda #class12

IfDelta = det [[a, b, c], [d, e, f], [g, h, i]] and A, B, C, D, Gare the cofactors of #nda #class12

If x = (1111)2, y = (1001)2 and z = (110)2, then what equal to? isx 3 - y3 - 23 - 3xyz #nda #class12

If p, 1, q are in AP and p, 2, q are in GP, then which of the following statements #nda #class12

If 5th, 7th and 13th terms of an AP are in GP, then what is the ratio of its first term #nda #class

If x + 5/y = 4 and y + 5/x = - 4 then what is (x + y) equal to?(a) 0(b) 1(c) 4(d) 5 #nda #class12

If one root of the equation x ^ 2 - kx + k = 0 exceeds the other by 2sqrt(3) #nda #class12

The sum of the first 8 terms of a GP is five times the sum of its first 4 terms. #nda #class12

The sum of the first k terms of a series S is 3k^2 + 5k. Which one of the following is correct? #nda

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