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RD Sharma & SL Loney: Algebra & Trigonometry

JEE Mathematics • 10 questions • Free on ExamBattle

Practice Questions

1. Q1

   [RD Sharma] The number of solutions of cos²θ − sinθ = 1/4 in [0, 2π] is:

   • A. 2
   • B. 3
   • C. 4
   • D. 1

2. Q2

   [SL Loney] If tan A = 1/2 and tan B = 1/3, then tan(A + B) is:

   • A. 1
   • B. 2/3
   • C. 5/6
   • D. undefined

3. Q3

   [RD Sharma] The roots of x² − 5x + 6 = 0 are:

   • A. 2 and 4
   • B. 2 and 3
   • C. 1 and 6
   • D. 3 and 4

4. Q4

   [RD Sharma] If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], then (AB)₁₁ (top-left element) is:

   • A. 19
   • B. 23
   • C. 17
   • D. 12

5. Q5

   [SL Loney] The value of sin75° is:

   • A. (√6 − √2)/4
   • B. (√6 + √2)/4
   • C. (√3 + 1)/2
   • D. √3/2

6. Q6

   [RD Sharma] In how many ways can the letters of "MISSISSIPPI" be arranged? (M=1, I=4, S=4, P=2):

   • A. 34650
   • B. 11!
   • C. 2520
   • D. 69300

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