ID#6888
HSC - Higher Math 1st - Dhaka - 2023
MCQ
f(x) = $\ln (2x)$ হলে—
i. f'(x) = $\frac{1}{x}$
ii. $\int f(x) \, dx = x (\ln |2x| - 1) + c$
iii. $\int_{1}^{2} f(x) \, dx = \frac{1}{2} - \ln 2$
নিচের কোনটি সঠিক?
ID#6856
HSC - Higher Math 1st - Chittagong - 2023
CQ
$2x - y - z = 6, x + 3y + 2z = 1$ এবং $3x - y - 5z = 1$
ID#6857
HSC - Higher Math 1st - Chittagong - 2023
CQ
দুইটি সরলরেখার সমীকরণ $x - 2y + 3 = 0, 2x + 3y = 1$
ID#6858
HSC - Higher Math 1st - Chittagong - 2023
CQ
বৃত্তের সমীকরণ: $x^2 + y^2 + 6x + 2y + 6 = 0, x^2 + y^2 + 8x + y + 10 = 0$
ID#6859
HSC - Higher Math 1st - Chittagong - 2023
CQ
$Q = \begin{bmatrix} 3+x & 4 & 2 \\ 4 & 2+x & 3 \\ 2 & 3 & 4+x \end{bmatrix}$
ID#6860
HSC - Higher Math 1st - Chittagong - 2023
CQ
যেখানে
ID#6861
HSC - Higher Math 1st - Chittagong - 2023
CQ
দৃশ্যকল্প-১: $f(x) = x, g(x) = \sin x$
দৃশ্যকল্প-২: $n \sin^{-1} x = \sin^{-1} y$
ID#6862
HSC - Higher Math 1st - Chittagong - 2023
CQ
$f(x) = \cos x$
ID#6848
HSC - Higher Math 1st - Mymensingh - 2023
CQ
$A = \begin{pmatrix} 1 & 4 \\ 0 & 1 \end{pmatrix}, B = \begin{pmatrix} l & m \\ 0 & n \end{pmatrix}, C = \begin{pmatrix} 0 & 1 & 2 \\ 1 & 2 & 0 \\ 2 & 0 & 4 \end{pmatrix}$ এবং $f(x) = x^2 + 5x + 6$.
ID#6849
HSC - Higher Math 1st - Mymensingh - 2023
CQ
$A = \begin{pmatrix} (b+c)^2 & a^2 & bc \\ (c+a)^2 & b^2 & ca \\ (a+b)^2 & c^2 & ab \end{pmatrix}, B = \begin{pmatrix} 1 & 0 & 1 \\ 0 & 2 & 0 \\ 3 & 0 & 1 \end{pmatrix}, C = \begin{pmatrix} x \\ y \\ z \end{pmatrix}, D = \begin{pmatrix} 1 \\ 2 \\ 1 \end{pmatrix}$
ID#6850
HSC - Higher Math 1st - Mymensingh - 2023
CQ
$L = (4, 3), M = (3, 5), N = (6, 4)$.
ID#6851
HSC - Higher Math 1st - Mymensingh - 2023
CQ
$P(1, 2), Q(2, 3)$ দুইটি বিন্দু এবং $x^2 + y^2 - 6x - 4y + 1 = 0$ একটি বৃত্তের সমীকরণ।
ID#6853
HSC - Higher Math 1st - Mymensingh - 2023
CQ
$f(x) = \sin x$.
ID#6854
HSC - Higher Math 1st - Mymensingh - 2023
CQ
$f(x, y) = y^2 - 4x - 6y + 20, g(x) = x^3 - 6x^2 + 9x + 1$
ID#6855
HSC - Higher Math 1st - Mymensingh - 2023
CQ
$f(x) = \sin x; g(x, y) = 25x^2 + 36y^2 - 900$.
ID#6840
HSC - Higher Math 1st - Barisal - 2023
CQ
সমীকরণ জোট: $tx + uy + vz = 5$
$t^2x + u^2y + v^2z = 5$
$(t^3 - 1)x + (u^3 - 1)y + (v^3 - 1)z = -5$
ID#6841
HSC - Higher Math 1st - Barisal - 2023
CQ
দুইটি সরলরেখা $12x - 5y + 26 = 0 \dots (i)$
$x + 5y = 13 \dots (ii)$
এবং দুইটি বিন্দু $A(2, -1)$ ও $B(-4, 7)$
ID#6842
HSC - Higher Math 1st - Barisal - 2023
CQ
দৃশ্যকল্প-১:
ID#6843
HSC - Higher Math 1st - Barisal - 2023
CQ
দৃশ্যকল্প-১:
ID#6844
HSC - Higher Math 1st - Barisal - 2023
CQ
দৃশ্যকল্প-১:
দৃশ্যকল্প-২:
ID#6845
HSC - Higher Math 1st - Barisal - 2023
CQ
$f(x) = 3x^3 - 6x^2 - 5x + 2, g(x, y) = x^2 + y^2 - 4x - 6y - 7$
ID#6846
HSC - Higher Math 1st - Barisal - 2023
CQ
$f(x, y) = x^2 + y^2 + 6x - 2y - 15, g(x) = \sqrt{\cos x \sin^3 x}$
ID#6847
HSC - Higher Math 1st - Barisal - 2023
CQ
$f(x) = x^3 - 3x^2 - 2x + 1; y = \frac{1}{8}x^2$
ID#6832
HSC - Higher Math 1st - Dinajpur - 2023
CQ
$A = \begin{bmatrix} 2 & -1 & 1 \\ 3 & 1 & -4 \\ 5 & 2 & -3 \end{bmatrix}, B = \begin{bmatrix} p^2 & qr & 2p \\ q^2 & rp & 2q \\ r^2 & pq & 2r \end{bmatrix}$
ID#6833
HSC - Higher Math 1st - Dinajpur - 2023
CQ
দৃশ্যকল্প-১:
$OA = OB$
দৃশ্যকল্প-২: $4x - 3y + 1 = 0$ এবং $3x + 4y + 8 = 0$.
ID#6834
HSC - Higher Math 1st - Dinajpur - 2023
CQ
দৃশ্যকল্প-১:
দৃশ্যকল্প-২:
ID#6835
HSC - Higher Math 1st - Dinajpur - 2023
CQ
দৃশ্যকল্প-১: $x^2 + y^2 - 6x = 0 \dots \dots \dots (i)$
$x - 4 = 0 \dots \dots \dots (ii)$
দৃশ্যকল্প-২: $x^2 + y^2 + 6x + 4y + 6 = 0$
$x^2 + y^2 + 4x + 2y + 2 = 0$
ID#6836
HSC - Higher Math 1st - Jessore - 2023
CQ
দৃশ্যকল্প-১:
দৃশ্যকল্প-২:
ID#6837
HSC - Higher Math 1st - Dinajpur - 2023
CQ
দৃশ্যকল্প-১: $f(x) = \sin x$.
দৃশ্যকল্প-২: $x = \sin \left( \frac{1}{m} \ln y \right)$
ID#6838
HSC - Higher Math 1st - Dinajpur - 2023
CQ