ID#6839
HSC - Higher Math 1st - Dinajpur - 2023
CQ
$f(x) = \sin x$
$g(x, y) = 9x^2 + 25y^2 - 225$
$h(x) = x - 3$
ID#6824
HSC - Higher Math 1st - Jessore - 2023
CQ
$A = \begin{pmatrix} 1 & -2 & 3 \end{pmatrix}, X = \begin{pmatrix} x & y & z \end{pmatrix}, B = \begin{pmatrix} 1 & -2 & 3 \\ 1 & 5 & 0 \\ 4 & -2 & 1 \end{pmatrix}$
$C = \begin{pmatrix} (m+n)^2 & l^2 & l^2 \\ m^2 & (n+l)^2 & m^2 \\ n^2 & n^2 & (l+m)^2 \end{pmatrix}$
ID#6826
HSC - Higher Math 1st - Jessore - 2023
CQ
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।
ID#6827
HSC - Higher Math 1st - Jessore - 2023
CQ
$x^2 + y^2 + 6x - 6y - 31 = 0 \dots \dots \dots (i)$
$4x + 3y + 7 = 0 \dots \dots \dots (ii)$
$2x - 5y + 1 = 0 \dots \dots \dots (iii)$
ID#6828
HSC - Higher Math 1st - Jessore - 2023
CQ
$PQR$ একটি ত্রিভুজ।
ID#6829
HSC - Higher Math 1st - Jessore - 2023
CQ
$f(x) = a^{5x}, g(x) = \sqrt{\frac{x}{2a}} + \sqrt{\frac{y}{2a}} - 1$.
ID#6830
HSC - Higher Math 1st - Jessore - 2023
CQ
দৃশ্যকল্প-১: $f(x) = \frac{1}{(4+x^2)^{3/2}}$
দৃশ্যকল্প-২: $x^2 + y^2 = 64, y = 5$
ID#6831
HSC - Higher Math 1st - Jessore - 2023
CQ
$f(x) = x^3 - 6x^2 + 9x + 5$
$g(x) = x + 2$
$h(x) = (1-x)(x^2+4)$
ID#6816
HSC - Higher Math 1st - Comilla - 2023
CQ
$A = \begin{bmatrix} 2 & -1 & 3 \\ 1 & 1 & 1 \\ 1 & -1 & 2 \end{bmatrix}, B = \begin{bmatrix} x \\ y \\ z \end{bmatrix}, C = \begin{bmatrix} 2 \\ 5 \\ 4 \end{bmatrix}$
ID#6817
HSC - Higher Math 1st - Comilla - 2023
CQ
$M = \begin{bmatrix} a-5 & 2 \\ 2 & a-2 \end{bmatrix}, N = \begin{bmatrix} -1 & 2 & -3 \\ 2 & 1 & 0 \\ 4 & -2 & 5 \end{bmatrix}, P = \begin{bmatrix} -2 & a+b & -c \\ -2 & b+c & -a \\ a+b-c & c^2 & ab \end{bmatrix}$
ID#6819
HSC - Higher Math 1st - Comilla - 2023
CQ
উদ্দীপক-I:
উদ্দীপক-II:
ID#6821
HSC - Higher Math 1st - Comilla - 2023
CQ
উদ্দীপক-I: Δ ABC এ A + B + C = π
উদ্দীপক-II:
ID#6822
HSC - Higher Math 1st - Comilla - 2023
CQ
$f(x) = \ln(x), g(x) = (x + \sqrt{1 + x^2})$
ID#6823
HSC - Higher Math 1st - Comilla - 2023
CQ
$P(x) = \cos x, Q(x, y) = x^2 + y^2 - 25, L = x - 3$
ID#6808
HSC - Higher Math 1st - Rajshahi - 2023
CQ
দৃশ্যকল্প-১: $x - 2y + 2z = 1, 2x + 6y - z = 2, x + 3y - 3z = 3$
দৃশ্যকল্প-২: $\Delta = \begin{vmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \end{vmatrix}, \Delta_1 = \begin{vmatrix} 1 & 1 & 1 \\ yz & zx & xy \\ x & y & z \end{vmatrix}$
ID#6809
HSC - Higher Math 1st - Rajshahi - 2023
CQ
$A = \begin{bmatrix} 1 & 2 & 1 \\ 0 & 1 & -1 \\ 3 & -1 & 1 \end{bmatrix}, \Delta = \begin{vmatrix} x-1 & 2 & 3 \\ 1 & x-1 & 1 \\ 3 & 2 & x-1 \end{vmatrix}$
ID#6810
HSC - Higher Math 1st - Rajshahi - 2023
CQ
দৃশ্যকল্প-১:
$AD \parallel BC, \angle ACD = 90^\circ$
দৃশ্যকল্প-২: $A(8, 3)$ এবং $B = (p, q)$, $AB$ এর লম্ব সমদ্বিখন্ডকের সমীকরণ $y = -2x + 4$
ID#6811
HSC - Higher Math 1st - Rajshahi - 2023
CQ
$x^2 + y^2 - 2x + 2y = 2$ বৃত্তের একটি স্পর্শক $3x + 4y - 9 = 0$
ID#6812
HSC - Higher Math 1st - Rajshahi - 2023
CQ
দৃশ্যকল্প-১:
$ON \parallel BN'$
দৃশ্যকল্প-২:
$T = l + m + n$
ID#6813
HSC - Higher Math 1st - Rajshahi - 2023
CQ
$f(x) = (ax)^n$, $g(x) = 17 - 15x + 9x^2 - x^3$
ID#6814
HSC - Higher Math 1st - Rajshahi - 2023
CQ
দৃশ্যকল্প-১:
দৃশ্যকল্প-২:
ID#6815
HSC - Higher Math 1st - Rajshahi - 2023
CQ
দৃশ্যকল্প-১: $f(x) = 3x^2 + 2x + 7$
দৃশ্যকল্প-২: $g(x) = 54x - (2x - 7)^3$
ID#6800
HSC - Higher Math 1st - Sylhet - 2023
CQ
$A = \begin{bmatrix} p & p+1 & p+1 \\ p+1 & p & p+1 \\ p+1 & p+1 & p \end{bmatrix}$
ID#6801
HSC - Higher Math 1st - Sylhet - 2023
CQ
$px + qy + rz = 1$
$p^2x + q^2y + r^2z = a$
$(p^3 - 1)x + (q^3 - 1)y + (r^3 - 1)z = a^2$
ID#6804
HSC - Higher Math 1st - Sylhet - 2023
CQ
$A + B + C = \frac{\pi}{2}$
ID#6805
HSC - Higher Math 1st - Sylhet - 2023
CQ
$\phi(x) = \cos x$
ID#6806
HSC - Higher Math 1st - Sylhet - 2023
CQ