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#1 Class 10 Mathematics Statistics 2026 Mcq 1M BIHAR BOARD
The mean and mode of a frequency distribution are 28 and 16 respectively, then the median is
A. 24.5
B. 23.5
C. 24
D. 22
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#2 Class 10 Mathematics Introduction to Trigonometry 2026 Long 5M BIHAR BOARD
Prove that $\left(\dfrac{1-\tan\theta}{1-\cot\theta}\right)^2 = \dfrac{1+\tan^2\theta}{1+\cot^2\theta} = \tan^2\theta$.
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#3 Class 10 Mathematics Coordinate Geometry 2026 Long 5M BIHAR BOARD
Find the area of the quadrilateral whose vertices are $(1,\ 1)$, $(7,\ -3)$, $(12,\ 2)$ and $(2,\ 3)$.
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#4 Class 10 Mathematics Some Applications of Trigonometry 2026 Long 5M BIHAR BOARD
From a point $P$ on the ground the angle of elevation of the top of a 10 m tall building is $30^\circ$. A flag is hoisted at the top of the building and angle of elevation of the top of the flagstaff from $P$ is $45^\...
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#5 Class 10 Mathematics Statistics 2026 Long 5M BIHAR BOARD
Find the median of the following distribution: Class interval 118-126 127-135 136-144 145-153 154-162 163-171 172-180 Frequency 3 5 9 12 5 4 2
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#6 Class 10 Mathematics Constructions 2026 Long 5M BIHAR BOARD
Draw a triangle $ABC$ with side $BC = 6$ cm, $AB = 5$ cm and $\angle ABC = 60^\circ$. Then construct a triangle whose sides are $\dfrac{5}{7}$ time of the corresponding sides of the triangle $ABC$.
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#7 Class 10 Mathematics Pair of Linear Equations in Two Variables 2026 Long 5M BIHAR BOARD
Ritu can swim downstream 20 km in 2 hours and upstream 4 km in 2 hours. Find her speed of swimming in still water and the speed of the current.
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#8 Class 10 Mathematics Triangles 2026 Long 5M BIHAR BOARD
Prove that if a perpendicular is drawn from the vertex containing the right angle of a right triangle to the hypotenuse then the triangles on both sides of the perpendicular are similar to each other and to the origin...
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#9 Class 10 Mathematics Pair of Linear Equations in Two Variables 2026 Long 5M BIHAR BOARD
Draw the graphs of the equations $x-y+1=0$ and $3x+2y-12=0$. Determine the co-ordinates of the vertices of the triangle formed by these lines and $x$-axis.
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#10 Class 10 Mathematics Introduction to Trigonometry 2026 Short 2M BIHAR BOARD
If $5\tan\theta = 4$ then find the value of $\dfrac{5\sin\theta-3\cos\theta}{\sin\theta+2\cos\theta}$.
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#11 Class 10 Mathematics Coordinate Geometry 2026 Short 2M BIHAR BOARD
Prove that the points $(7,\ -2)$, $(5,\ 1)$ and $(3,\ 4)$ are collinear.
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#12 Class 10 Mathematics Coordinate Geometry 2026 Short 2M BIHAR BOARD
Find the area of the triangle, the coordinates of whose vertices are $(5,\ 2)$, $(4,\ 7)$ and $(7,\ -4)$.
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#13 Class 10 Mathematics Triangles 2026 Short 2M BIHAR BOARD
$ABC$ is an isosceles triangle in which $AC = BC$. If $AB^2 = 2AC^2$ then prove that $ABC$ is a right angled triangle.
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#14 Class 10 Mathematics Triangles 2026 Short 2M BIHAR BOARD
$\triangle ABC$ and $\triangle DEF$ are similar and their areas are $25$ cm$^2$ and $49$ cm$^2$ respectively. If $EF = 9.8$ cm then find $BC$.
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#15 Class 10 Mathematics Triangles 2026 Short 2M BIHAR BOARD
In $\triangle ABC$, $PQ \parallel BC$, $AP = 2$ cm, $PB = 6$ cm, $AQ = 4$ cm, then find the value of $AC$.
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#16 Class 10 Mathematics Real Numbers 2026 Short 2M BIHAR BOARD
Using Euclid's division algorithm find the H.C.F. of 135 and 225.
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#17 Class 10 Mathematics Polynomials 2026 Short 2M BIHAR BOARD
Divide $y^6+3y^2+10$ by $y^3+1$.
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#18 Class 10 Mathematics Real Numbers 2026 Short 2M BIHAR BOARD
Prove that $6+\sqrt{2}$ is an irrational number.
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#19 Class 10 Mathematics Pair of Linear Equations in Two Variables 2026 Short 2M BIHAR BOARD
Solve the pair of equations $2x+y=7$ and $4x-3y+1=0$ by the method of substitution or elimination.
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#20 Class 10 Mathematics Quadratic Equations 2026 Short 2M BIHAR BOARD
Using quadratic formula find the roots of the equation $6x^2+5x-6=0$.
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