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ID#6840 HSC - Higher Math 1st - Barisal - 2023 CQ

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ID#6832 HSC - Higher Math 1st - Dinajpur - 2023 CQ

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ID#6834 HSC - Higher Math 1st - Dinajpur - 2023 CQ

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ID#6836 HSC - Higher Math 1st - Jessore - 2023 CQ

ID#6837 HSC - Higher Math 1st - Dinajpur - 2023 CQ

ID#6838 HSC - Higher Math 1st - Dinajpur - 2023 CQ

ID#6839 HSC - Higher Math 1st - Dinajpur - 2023 CQ

ID#6824 HSC - Higher Math 1st - Jessore - 2023 CQ

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ID#6826 HSC - Higher Math 1st - Jessore - 2023 CQ

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ID#6829 HSC - Higher Math 1st - Jessore - 2023 CQ

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ID#6816 HSC - Higher Math 1st - Comilla - 2023 CQ

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ID#6819 HSC - Higher Math 1st - Comilla - 2023 CQ

ID#6820 HSC - Higher Math 1st - Comilla - 2023 CQ

ID#6821 HSC - Higher Math 1st - Comilla - 2023 CQ

ID#6822 HSC - Higher Math 1st - Comilla - 2023 CQ

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সমীকরণ জোট: $tx + uy + vz = 5$ $t^2x + u^2y + v^2z = 5$ $(t^3 - 1)x + (u^3 - 1)y + (v^3 - 1)z = -5$

দুইটি সরলরেখা $12x - 5y + 26 = 0 \dots (i)$ $x + 5y = 13 \dots (ii)$ এবং দুইটি বিন্দু $A(2, -1)$ ও $B(-4, 7)$

দৃশ্যকল্প-১: XX'YY'OBACD(0, 3)

দৃশ্যকল্প-১: XX'YY'BFODEAP(2,2)45°

দৃশ্যকল্প-১: ABCcba দৃশ্যকল্প-২: sin⁡2α=Q−sin⁡2β;cos⁡2β=P−cos⁡2α

$f(x) = 3x^3 - 6x^2 - 5x + 2, g(x, y) = x^2 + y^2 - 4x - 6y - 7$

$f(x, y) = x^2 + y^2 + 6x - 2y - 15, g(x) = \sqrt{\cos x \sin^3 x}$

$f(x) = x^3 - 3x^2 - 2x + 1; y = \frac{1}{8}x^2$

$A = \begin{bmatrix} 2 & -1 & 1 \\ 3 & 1 & -4 \\ 5 & 2 & -3 \end{bmatrix}, B = \begin{bmatrix} p^2 & qr & 2p \\ q^2 & rp & 2q \\ r^2 & pq & 2r \end{bmatrix}$

দৃশ্যকল্প-১: XYO(0,0)ABC $OA = OB$ দৃশ্যকল্প-২: $4x - 3y + 1 = 0$ এবং $3x + 4y + 8 = 0$.

দৃশ্যকল্প-১: XX'YY'OAB4x+3y+6=02x+by+4=0 দৃশ্যকল্প-২: 3x+4y−24=0 একটি সরলরেখার সমীকরণ।

দৃশ্যকল্প-১: $x^2 + y^2 - 6x = 0 \dots \dots \dots (i)$ $x - 4 = 0 \dots \dots \dots (ii)$ দৃশ্যকল্প-২: $x^2 + y^2 + 6x + 4y + 6 = 0$ $x^2 + y^2 + 4x + 2y + 2 = 0$

দৃশ্যকল্প-১: f(x)=cos⁡x. দৃশ্যকল্প-২: ABC34√13

দৃশ্যকল্প-১: $f(x) = \sin x$. দৃশ্যকল্প-২: $x = \sin \left( \frac{1}{m} \ln y \right)$

দৃশ্যকল্প-১: $f(x) = \sqrt{x}$; দৃশ্যকল্প-২: $h(x) = \sin x$.

$f(x) = \sin x$ $g(x, y) = 9x^2 + 25y^2 - 225$ $h(x) = x - 3$

$A = \begin{pmatrix} 1 & -2 & 3 \end{pmatrix}, X = \begin{pmatrix} x & y & z \end{pmatrix}, B = \begin{pmatrix} 1 & -2 & 3 \\ 1 & 5 & 0 \\ 4 & -2 & 1 \end{pmatrix}$ $C = \begin{pmatrix} (m+n)^2 & l^2 & l^2 \\ m^2 & (n+l)^2 & m^2 \\ n^2 & n^2 & (l+m)^2 \end{pmatrix}$

XX'YY'A(5, 0)B(0, 7)C(-4, 5)D

দৃশ্যকল্প-১: $x = 0, y = 0$ এবং $x = 10$ তিনটি সরলরেখার সমীকরণ। দৃশ্যকল্প-২: $x^2 + y^2 - 12x + 16y - 69 = 0$ এবং $x^2 + y^2 - 9x + 12y - 59 = 0$ দুইটি বৃত্তের সমীকরণ।

$x^2 + y^2 + 6x - 6y - 31 = 0 \dots \dots \dots (i)$ $4x + 3y + 7 = 0 \dots \dots \dots (ii)$ $2x - 5y + 1 = 0 \dots \dots \dots (iii)$

$PQR$ একটি ত্রিভুজ।

$f(x) = a^{5x}, g(x) = \sqrt{\frac{x}{2a}} + \sqrt{\frac{y}{2a}} - 1$.

দৃশ্যকল্প-১: $f(x) = \frac{1}{(4+x^2)^{3/2}}$ দৃশ্যকল্প-২: $x^2 + y^2 = 64, y = 5$

$f(x) = x^3 - 6x^2 + 9x + 5$ $g(x) = x + 2$ $h(x) = (1-x)(x^2+4)$

$A = \begin{bmatrix} 2 & -1 & 3 \\ 1 & 1 & 1 \\ 1 & -1 & 2 \end{bmatrix}, B = \begin{bmatrix} x \\ y \\ z \end{bmatrix}, C = \begin{bmatrix} 2 \\ 5 \\ 4 \end{bmatrix}$

$M = \begin{bmatrix} a-5 & 2 \\ 2 & a-2 \end{bmatrix}, N = \begin{bmatrix} -1 & 2 & -3 \\ 2 & 1 & 0 \\ 4 & -2 & 5 \end{bmatrix}, P = \begin{bmatrix} -2 & a+b & -c \\ -2 & b+c & -a \\ a+b-c & c^2 & ab \end{bmatrix}$

XX'YY'O4x - 3y + 12 = 03x - 4y - 8 = 0ABC

উদ্দীপক-I: XX'YY'(0, -4) উদ্দীপক-II: x2+y2+2x+3y+1=0 একটি বৃত্তের সমীকরণ।

STErqp

উদ্দীপক-I: Δ ABC এ A + B + C = π উদ্দীপক-II: ABCabcr

$f(x) = \ln(x), g(x) = (x + \sqrt{1 + x^2})$

$P(x) = \cos x, Q(x, y) = x^2 + y^2 - 25, L = x - 3$

সমীকরণ জোট: $tx + uy + vz = 5$
$t^2x + u^2y + v^2z = 5$
$(t^3 - 1)x + (u^3 - 1)y + (v^3 - 1)z = -5$

দুইটি সরলরেখা $12x - 5y + 26 = 0 \dots (i)$
$x + 5y = 13 \dots (ii)$
এবং দুইটি বিন্দু $A(2, -1)$ ও $B(-4, 7)$

দৃশ্যকল্প-১:

দৃশ্যকল্প-১:

দৃশ্যকল্প-১:
দৃশ্যকল্প-২: $\sin 2 α = Q - \sin 2 β; \cos 2 β = P - \cos 2 α$

দৃশ্যকল্প-১:
$OA = OB$
দৃশ্যকল্প-২: $4x - 3y + 1 = 0$ এবং $3x + 4y + 8 = 0$.

দৃশ্যকল্প-১:
দৃশ্যকল্প-২: $3 x + 4 y - 24 = 0$ একটি সরলরেখার সমীকরণ।

দৃশ্যকল্প-১: $x^2 + y^2 - 6x = 0 \dots \dots \dots (i)$
$x - 4 = 0 \dots \dots \dots (ii)$
দৃশ্যকল্প-২: $x^2 + y^2 + 6x + 4y + 6 = 0$
$x^2 + y^2 + 4x + 2y + 2 = 0$

দৃশ্যকল্প-১: $f (x) = \cos x$ .
দৃশ্যকল্প-২:

দৃশ্যকল্প-১: $f(x) = \sin x$.
দৃশ্যকল্প-২: $x = \sin \left( \frac{1}{m} \ln y \right)$

$f(x) = \sin x$
$g(x, y) = 9x^2 + 25y^2 - 225$
$h(x) = x - 3$

$A = \begin{pmatrix} 1 & -2 & 3 \end{pmatrix}, X = \begin{pmatrix} x & y & z \end{pmatrix}, B = \begin{pmatrix} 1 & -2 & 3 \\ 1 & 5 & 0 \\ 4 & -2 & 1 \end{pmatrix}$
$C = \begin{pmatrix} (m+n)^2 & l^2 & l^2 \\ m^2 & (n+l)^2 & m^2 \\ n^2 & n^2 & (l+m)^2 \end{pmatrix}$

দৃশ্যকল্প-১: $x = 0, y = 0$ এবং $x = 10$ তিনটি সরলরেখার সমীকরণ।
দৃশ্যকল্প-২: $x^2 + y^2 - 12x + 16y - 69 = 0$ এবং $x^2 + y^2 - 9x + 12y - 59 = 0$ দুইটি বৃত্তের সমীকরণ।

$x^2 + y^2 + 6x - 6y - 31 = 0 \dots \dots \dots (i)$
$4x + 3y + 7 = 0 \dots \dots \dots (ii)$
$2x - 5y + 1 = 0 \dots \dots \dots (iii)$

দৃশ্যকল্প-১: $f(x) = \frac{1}{(4+x^2)^{3/2}}$
দৃশ্যকল্প-২: $x^2 + y^2 = 64, y = 5$

$f(x) = x^3 - 6x^2 + 9x + 5$
$g(x) = x + 2$
$h(x) = (1-x)(x^2+4)$

উদ্দীপক-I:
উদ্দীপক-II: $x^{2} + y^{2} + 2 x + 3 y + 1 = 0$ একটি বৃত্তের সমীকরণ।

উদ্দীপক-I: Δ ABC এ A + B + C = π
উদ্দীপক-II: