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The cofunction of sin45 is

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is:

For a polynomial p(x) =2x⁴ – 3x³ + 2x² + 2x - 1 what is the remainder when it’s divided by x+4?

A rectangular reservoir is $100m$ long and $50m$ wide. Find the speed of the water flowing into it through a square pipe of side $10cm$ such that the water rises by $1m$ in $10$ hours.

Find the mode of the following data: 1 ,2, 3, 2, 4, 2, 1, 3, 2, 4, 2, 2, 1, 3, 2, 4.

Find the values of x and y for
$x+\frac{1}{2}y=\frac{9}{2}$
$\frac{1}{4}x-\frac{1}{6}y=\frac{5}{6}$

Find the coordinates of the circumcenter of a triangle whose vertices are (8, 6), (8, – 2) and (2, – 2). What is the circumradius of this triangle?

Find the perimeter of the square ABCD?

The volumes of the two spheres are in the ratio $64:27.$ Find the ratio of their surface areas.

The polynomial x³+ 3x² - 3, 2x³ - 5x + a leave the same remainder in each cases. When divide by x-4 . Find the value of a

Factorise:
$x^2-\sqrt{3}x-6$

Solve

x + y = 2xy

x - y = 6xy

$O$ is the orthocentre of $△ABC$. If $\angle BAC={70}^{\circ },$ then $\angle BOC=$

In a cylinder, if radius is halved and height is doubled, the volume will be (a) same (b) doubled

(c) halved (d) four times

an angle is equal to one third of its suplement, find its measure.

Which of the following statements are true (T) and which are false (F) ?

(i) In a parallelogram, the diagonals are equal.

(ii) In a parallelogram, the diagonals bisect each other.

(iii) In a parallelogram, the diagonals bisect each other at right angles.

(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.

(v) If all the angles of a quadrilateral are equal, it is a parallelogram.

(vi) If three sides of a quadrilateral are equal, it is a parallelogram.

(vii) If three angles of a quadrilateral are equal, it is a parallelogram

(viii) If all the sides of a quadrilateral are equal it is a parallelogram.

If 2:9 :: x:27 then find the value of x.

If (7,3), (6,1), (8,2) and (p,q) are the vertices of a parallelogram, taken in order, then find the values of p and q.
p = ___ and q = ___

Solve the following inequalities graphically in two dimensional plane:

$-3x+2y\ge -6$

Express the given formula in term of x.

$\frac{\frac{1}{x}+\frac{1}{y}}{\frac{1}{f}}=(2+4t)$

The mean of 11 numbers is 42. If the mean of the first 6 numbers is 37 and that of the last 6 numbers is 46, find the 6th number.

Mode of the data 15, 17, 15, 19, 14, 18, 15, 14, 16, 15, 14, 20, 19, 14, 15 is
(a) 14
(b) 15
(c) 16
(d) 17

If the arithmetic mean of 7,5,13, x and 9 is 10, then the value of x is

If two straight line intersect each other in such a way that one of the angles formed measures ${90}^{\circ }$, show that each of the remaining angles measures ${90}^{\circ }$.

Which of the following is/are irrational numbers?

The product of the square root of $x$ with the cube root of $x$, is.......

If each edge of a cube of surface area ${}^{\prime }{S}^{\prime }$ is doubled, then the surface area of the new cube is

Factorise $a^4-16$ is ____

Question 3(c)
Fill in the blanks:
(- 206) $÷$ ___ = 1

Factorize: $x(6x-5y)-4(6x-5y{)}^2$

If 125^x=25/5 ^{​​​​​x}find x.

Boundaries of solids are

(a) lines

(b) curves

(c) surfaces

(d) none of these

Diagonals necessarily bisect opposite angles in a

$(2+\sqrt{2})$ is

(a) an integer (b) a rational number

(c) an irrational number (d) none of these

Consider the following two statements.
Statement-1 : A coordinate plane is also called Cartesian plane.
Statement-2 : The four quadrants are also called the coordinates axes.
Which of the following is true?

Satish and Pravin invested Rs. 20,000 and Rs. 10,000 respectively in a business at the beginning of the year. After 6 months, Neeraj joined them with a capital of Rs. 10,000. If they make a profit of Rs. 28,000 what will be the profit Neeraj will earn?

You have been asked to plot graphs of the following equations:
Equation 1: $3x+2y=1$
Equation 2: $y-2x=2$
Fill the following tables (find p, q, r, s) which you will use to plot the graphs:
Equation 1:
$\begin{array}{ccc}x& 0& 5\\ y& p& q\end{array}$
Equation 2:
$\begin{array}{ccc}x& r& s\\ y& 0& 5\end{array}$

What is the shirt definition for linear equations in two variables

If the area of the $\Delta$AOD is 12 $c{m}^2$, then find the area of the parallelogram ABCD.

The diagonals of a quadrilateral ABCD interest each other such that ao/no=co/do prove that its a trapezium

Rational numbers between 3/7 and 5/7

If x=√2+1,find the value of x-1/x

Question 10
If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side.

Find the value of $(\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2})$.

The rational number between 1 and 2 is