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Write the coordinates of a point

i) Below x- axis and on y-axis

ii) Mirror image of (5,8) with respect to x- axis

Question 42

State whether the following statement is true (T) or false (F).

If $\frac{15}{8}-7x=9,$ then $-7x=9+\frac{15}{8}.$

Simplify $(p^3-3p^{2}q)+(2p{q}^2+4q^3)-(3p^{2}q+p{q}^2)$

I did not understood the question how to factorise

4√3x²+5x-2√3

( √ is the sign of under root)

If $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ are non-coplanar vectors and $\overrightarrow{d}=\lambda \overrightarrow{a}+\mu \overrightarrow{b}+\nu \overrightarrow{c},$ then $\lambda$ equal to

Maximum number of lines that can pass through a single point are

M, N and P are the mid points of AB, AC and BC respectively. If MN = 3 cm, NP = 3.5 cm and MP = 2.5cm, then the measures of BC, AB and AC are

The arithmetic mean of 30 values is 69. New mean, if each of the 30 values is increased by 5 is

Factorise $a+2b+a^3+8b^3$

The degree measure of a semi-circle is

The point of the form (a, a) always lies on

Determine the area of a rectangle if the area of a triangle which is within the parallels and has a same base is 255 sq. meter.

Prove that the angle in a segment shorter than a semicircle is greater than a right angle.

The perimeter of the rectangle is 158 cm. If the length is 7 more than 3 times the width, find the area of the rectangle.

A water container can hold $40$ litres of water. The number of ice cubes of side $5cm$ that can be filled into the container is___ .

Refer to the following figure:

Which line segments depict the “height” of point A from the base BE?

Given that ∠ABC = ∠ACD and ∠ADE = ${90}^{\circ }$ and ∠ABC = ∠AEB

The following figure shows a circle with centre O.

If OP is perpendicular to AB, prove that AP =BP.

If $m=log20$ and $n=log25$, find the value of x, so that : $2log(x-4)=2m-n$.

What sum of money will amount to ₹ 23,805 in 2 years at 15 % per annum compound interest ?

The greater number among $\sqrt{17}-\sqrt{12}$ and $\sqrt{11}-\sqrt{6}$ is

In the figure, it is given that AB = AC and point D bisects the side BC. Find $\angle ADC$.

The mean of marks scored by $100$ students was found to be $40.$ Later on it was discovered that a score of $53$ was misread as $83.$ Find the correct mean.

Find an irrational number between 5 and 6.

The diagonal of a square is 10 cm. Its area is:

PQRS is a parallelogram PO = 4cm and SO= 2.5 cm. Find the measure of RO and SQ.

If $\overrightarrow{a}$ and $\overrightarrow{b}$ are two unit vectors such that $\overrightarrow{a}+2\overrightarrow{b}$ and $5\overrightarrow{a}-4\overrightarrow{b},$ are perpendicular to each other, then the angle between $\overrightarrow{a}$ and $\overrightarrow{b}$ is

Simplify

12√18 - 6√20 - 3√50 + 8√45

Question 02.
In a Television game show, the prize money of Rs1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners:
$\begin{array}{cccccccc}No.ofwinners& 1& 2& 4& 5& 8& 10& 20\\ Prizeforeachwinner(inRs.)& 1,00,000& 50,000& \dots & \dots & \dots & \dots & \dots \end{array}$

In a partnership, A invested Rs. 100 for 3 months, B invested Rs. 50 for 4 months and C invested Rs. 30 for 5 months. If the total profit in that year is Rs. 3939 what is the profit earned by C?

50^_x2_-2(x-2)2

Show that 0.333......is a rational number

After getting two successive discounts, a shirt with a price list of Rs. 150 is available at Rs.105. If the second discount is 12.5%, find the first discount.

Good evening sir / mam

In a triangle ABC , BC=AB, and angle B =80° . Then angle A is equal to

a. 80°

b. 40°

c. 50°

d. 100°

Thank you

$\begin{array}{ccccccc}\text{Outcome}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 22& 20& 18& 16& 14& 12\end{array}$

What is the probability of occurrence of 3 ?

If x/y+y/x=-1 (x is not equal to y,x is not equal to 0,y is not equal to 0 ) what will be value of x^3-y^3

_{Simplify (√5-2)^2}

If $x=\sqrt{a}\sin \alpha$ and $y=\sqrt{a}\cos \alpha$, what is the value of $x^2+y^2$?

In a raw data the observations 2, 3, 4 and 5 occur with a frequency of 8, 5, 10, 7. So the mode of the data is ________________

The mean of a data set with 10 observations is calculated as 17.85. If one more value is included in the data, then for the new data with 11 observations, mean becomes 18.50. Value of this 11^th observation is

The volume of a cube is 343 cm³. Its surface area would be

If $a^2+\frac{1}{a^2}=a^4+\frac{1}{a^4}$ then find the value of $a+\frac{1}{a}$

Let $n(A-B)$ = $25+x$, $n(B-A)$ = $2x$ and $n(A\cap B)$ = $2x$. If n(A) = 2(n(B)) then the value of 'x' is ___.

In the adjoining figure, ABCD is a parallelogram in which P is the midpoint of DC and Q is a point on AC such that CQ = 1/4 AC. Also PQ when produced meets BC at R. BR is