Mathematics
Maths related to High School Mathematics, Madhyamik Mathematics, Engineering Mathematics, and Graduation level Mathematics
1. a এবং b প্রত্যেকটির মান 1 এবং 2 হওয়ার সম্ভাবনা সমান । ax² + bx + 1 = 0 সমীকরণের বীজদ্বয় বাস্তব হওয়ার সম্ভাবনা হল
(A) [tex]{1 \over 2}[/tex] (B) [tex]{1 \over 4}[/tex] (C) [tex]{1 \over 8}[/tex] (D) [tex] {1 \over {16}}[/tex]
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1. A point P lies on the circle [tex]x^2+y^2=169[/tex]. If Q = (5, 12) and R = (-12, 5), then the angle [tex]\angle QPR[/tex] is
(A) [tex]\frac{\pi}{6}[/tex] (B) [tex]\frac{\pi}{4}[/tex] (C) [tex]\frac{\pi}{3}[/tex] (D) [tex]\frac{\pi}{2}[/tex]
Ans: (B)
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1. [tex]\sqrt{x+1}-\sqrt{x-1}=\sqrt{4x-1}[/tex] সমীকরণটির সমাধানের সংখ্যা হল
(A) 2 (B) 0 (C) 3 (D) 1
2. |z|² + |z - 3|² + |z - i|² লঘিষ্ঠ হবে যখন z এর মান
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1. The number of solution(s) of the equation [tex]\sqrt{x+1}-\sqrt{x-1}=\sqrt{4x-1}[/tex] is/are
(A) 2 (B) 0 (C) 3 (D) 1
2. The value of |z|² + |z - 3|² + |z - i|² is minimum when z equals
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WB-JEE - 2009-Mathematics
1. যদি A (2, 4) বিন্দুটির x অক্ষের উপর প্রতিফলিত C এবং B বিন্দুর y অক্ষের উপর প্রতিফলিত বিন্দু C হয়, তবে |AB| -এর মান হবে :
(A) 20 (B) 2√5 (C) 4√5 (D) 4
Ans : (C)
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WB-JEE - 2009-Mathematics
1. If C is the reflecton of A (2, 4) in x-axis and B is the reflection of C in y-axis, then |AB| is
(A) 20 (B) 2√5 (C) 4√5 (D) 4
Ans : (C)
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WBJEE - 2010 - Mathematics
1. [tex]{{\cot x - \tan x} \over {\cot 2x}}[/tex] এর মান
(A) 1 (B) 2 (C) –1 (D) 4
Ans : (B)
2. −2π ≤ x ≤ 2π এর মধ্যে 2y = 1 এবং y = sin x এর ছেদ বিন্দুর সংখ্যা
(A) 1 (B) 2 (C) 3 (D) 4
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WBJEE - 2010 - Mathematics
1. The value of [tex]{{\cot x - \tan x} \over {\cot 2x}}[/tex] is
(A) 1 (B) 2 (C) –1 (D) 4
Ans : (B)
2. The number of points of intersection of 2y = 1 and y = sin x, in −2π ≤ x ≤ 2π is
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