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If AB is parallel to CD then $△$ABO should be congruent to $△$CDO always.

Arjun: They will be congruent always.

Rahul: They may or may not be congruent.

Choose the correct option.

If $N_a=\{an:n\in N\}$ , then $N_3\cap N_4$ =

The complete set of values of $\lambda$, for which the function $f\left(x\right)=\{\begin{array}{cc}x+1,& x<1\\ \lambda ,& x=1\\ x^2-x+3,& x>1\end{array}$ is strictly increasing at $x=1,$ is

When a quantity is increased to 1.7 times its original value, the increase in percentage is :

Which of the following is the sample space when one coin is tossed twice?

A local park is 32 m long and its width is half its length. It has two right-triangular grass lawns as shown. The local gardener wanted to rennovate the park so he hired some men. The men agreed to work on the grass lawn at ₹ 1.2 per sq metre and also lay a new footpath around the lawns at ₹ 0.80 per sq metre. What is the total cost the gardener will have to pay after the work is done?

The additive inverse of $\frac{4}{5}\times \frac{2}{3}+\frac{1}{2}\times \frac{4}{5}$ is .

If triangle PQR is congruent to triangle XYZ, then which of the following is true?

Find the central angle of the circle whose diameter is 20 cm subtended by an arc of length 15.4 cm.

Parallelograms on the same base and between the same set of parallel lines _______________.

The weight of a bicycle is 8 kg and 650 g. What is the weight of the bicycle in g?

Simplifyand express each of the following in exponential form:

(i) $\frac{2^3\times 3^4\times 4}{3\times 32}$

(ii) $({5^2}^3\times 5^4)÷5^7$

(iii) ${25}^4÷5^3$

(iv) $\frac{3\times 7^2\times {11}^8}{21\times {11}^3}$

(v) $\frac{3^7}{3^4\times 3^3}$

(vi) $2^0+3^0+4^0$

(vii) $2^0\times 3^0\times 4^0$

(viii) $(3^0+2^0)\times 5^0$

(ix) $\frac{2^8\times a^5}{4^3\times a^3}$

(x) $\frac{a^5}{a^3}\times a^8$

(xi) $\frac{4^5\times a^8{b}^3}{4^5\times a^5{b}^2}$

(xii) $(2^3\times 2{)}^2$

What are the common multiples? If a number is divisible by 16, which numbers will definitely be a factor of that number? [3 MARKS]

1. 600

Question 2 (iii)
Write the point identified by the coordinates (-3, -5).

Two trains are moving in the same direction at the speed of 52 km/h and 34 km/h. They completely pass one another in one minute. If the length of the first train is 175 metres, then what is the length of the second train?

If $A\equiv (1,3)$ , $B\equiv (5,6)$ , then a point $M$ on $x-$axis, such that $AM+MB$ is minimum is

Solve the following problems.

If Mary deposits Rs. 18,500 in a bank at 12% p.a simple interest, how much amount does she get after 6 months?

Question 4 (i)
If $\Delta DEF\cong \Delta BCA$, write the part(s) of $\Delta BCA$ that correspond to:
$\angle E$

Hello. I have a problem on sets.

Decide whether set A and B are equal sets. Give reasons for your answer.

A={even prime numbers}

B={x|7x -1 = 13}

Please explain your answer. Thanks.

To decide the budget for the new park, the following calculation is performed using the box method:





Find the corresponding multiplication equation.

What is the number of arcs that need to be drawn during the construction of a 120-degree angle? __

From the given figure, find $\angle P$. [2 MARKS]

$45$% of $200$ is ___.

Question 92 (xvi)

Factorise the following using the identity $a^2-b^2=(a+b)(a-b).$

$1331x^{3}y-11y^{3}x$

The weight of 50 identical books is 25 kg. What is the weight of one such book?