Maths

A hemispherical and a conical hole is scooped out of a solid wooden cylinder
In the given figure AC is a tangent to the circle with centre O
The model of a building is constructed with the scale factor 1 : 30
M is a matrix and I is unit matrix of order 2 x 2
The sum of the first three terms of an Arithmetic Progression (A.P.) is 42
The vertices of a ∆ABC are A(3, 8), B(–1, 2) and C(6, -6). Find:
Using ruler and a compass only construct a semi-circle with diameter BC = 7cm
The data on the number of patients attending a hospital in a month are given below
Using properties of proportion solve for x, given
Sachin invests ₹8500 in 10%, ₹100 shares at ₹170
The marks obtained by 120 students in an English test
A man observes the angle of elevation of the top of the tower to be 45
Using the Remainder Theorem find the remainders obtained when
The product of two consecutive natural numbers
In the given figure, ABCDE is a pentagon inscribed in a circle such that AC is a diameter
Find the value of x and y if
Sonia had a recurring deposit account in a bank and deposited ₹600 per month
Cards bearing numbers 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 are kept in a bag
The circumference of the base of a cylindrical vessel is 132 cm
If (k –3), (2k + 1) and (4k + 3) are three consecutive terms of an A.P
PQRS is a cyclic quadrilateral. Given $ \angle QPS = 73^{\circ}, \angle PQS = 55^{\circ} $
If (𝑥 + 2) and (𝑥 + 3) are factors of $𝑥^3$ + 𝑎𝑥 + 𝑏, find the values of ‘a’ and ‘b’.
Prove that $\sqrt {\sec^2\theta + \csc^2\theta} $ = $ {\tan\theta + \cot\theta} $
Solve the following inequation, write down the solution set
If the straight lines 3𝑥 − 5𝑦 = 7 and 4𝑥 + 𝑎𝑦 + 9 = 0 are perpendicular
If the straight lines 3𝑥 − 5𝑦 = 7 and 4𝑥 + 𝑎𝑦 + 9 = 0 are perpendicular to one another
Solve $𝑥^2 + 7𝑥 = 7$ and give your answer correct
The 4th term of a G.P. is 16 and the 7th term is 128
A man invests ₹22,500 in ₹50 shares available at 10% discount
Use graph paper for this question (Take 2 cm = 1unit along both x and y axis)
If A = $ \begin{bmatrix} 2 & 3 \\ 5 & 7 \end{bmatrix}, B = \begin{bmatrix} 0 & 4\\ -1 & 7 \end{bmatrix} $
$x^2 + 4kx + (k^2 -k + 2) = 0$
On a map drawn to a scale of 1:50,000, a rectangular plot of land ABCD has the following dimensions
A (2, 5), B (–1, 2) and C (5, 8) are the vertices of a triangle ABC
₹7500 were divided equally among a certain number of children
If the mean of the following distribution is 24, find the value of ‘a’
Using ruler and compass only, construct a ∆ABC such that BC = 5 cm
Priyanka has a recurring deposit account of ₹1000 per month at 10% per annum.
In ∆PQR, MN is parrallel to QR and
The following figure represents a solid consisting of a right circular cylinder
Use Remainder theorem to factorize the following polynomial
In the figure given below ‘O’ is the centre of the circle.
The angle of elevation from a point P
The 4th term of an A.P. is 22 and 15th term is 66
A survey regarding height (in cm) of 60 boys belonging to Class 10