Question
Complete the following activity to solve the simultaneous equations
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Complete the following activity to find the sum of natural numbers from 1 to 140 which are divisible by 4.
Sum of numbers from 1 to 140, which are divisible by 4 = $\square$
→Sum of numbers from 1 to 140, which are divisible by 4 = $\square$
Form a ‘Road safety commitee’ of two, from 2 boys (B1, B2) and 2 girls(G1, G2). Complete the following activity to write the sample space.
(a) Committee of 2 boys = ⬜
(b) Committee of 2 girls = ⬜
(c) Committee of one boy and one girl = $B_1 G_1$, ⬜, ⬜, ⬜
∴ Sample space = {..., ..., ..., ..., ..., ...}
→(a) Committee of 2 boys = ⬜
(b) Committee of 2 girls = ⬜
(c) Committee of one boy and one girl = $B_1 G_1$, ⬜, ⬜, ⬜
∴ Sample space = {..., ..., ..., ..., ..., ...}
In fig., $PM = 10 cm, A(\triangle PQS) = 100$ sq.cm, $A(\triangle QRS) = 110$ sq.cm, then $NR?$
$\triangle P Q S$ and $\triangle Q R S$ having seg $Q S$ common base.
Areas of two triangles whose base is common are in proportion of their corresponding
$ \frac{ A ( PQS )}{ A ( QRS )}=\frac{[}{ NR }$
$\frac{100}{110}=\frac{[}{ NR },$
$NR =[\ldots] cm $
→$\triangle P Q S$ and $\triangle Q R S$ having seg $Q S$ common base.
Areas of two triangles whose base is common are in proportion of their corresponding
$ \frac{ A ( PQS )}{ A ( QRS )}=\frac{[}{ NR }$
$\frac{100}{110}=\frac{[}{ NR },$
$NR =[\ldots] cm $
Shri Shantilal purchased 150 shares of FV ₹ 100, for MV ₹ 120. Company paid dividend 7% Complete the following activity to find the rate of return on his investment.
FV =\%100; Number of shares =? 150 ; MV = mathbb * 120
FV =\%100; Number of shares =? 150 ; MV = mathbb * 120
The faces of a die bear the numbers 1, 3, 5, 7, 9, 11. The die is rolled. Find the probability of getting a perfect square number on the upper face of the die.
In fig. BP ⊥ AC, CQ ⊥ AB, A−P−C, and A−Q−B then show that ΔAPB and ΔAQC are similar.
In ΔAPB and ΔAQC
In ΔAPB and ΔAQC
∠APB = [ ]° ......(i)
∠AQC = [ ]° ......(ii)
∠APB ≅ ∠AQC .....[From (i) and (ii)]
∠PAB ≅ ∠QAC .....[______]
ΔAPB ~ ΔAQC .....[______]
Observe the figure and complete the following activity
In fig, ∠B = 75°, ∠D = 75°
∠B ≅ [ ______ ] ...[each of 75°]
∠C ≅ ∠C ...[ ______ ]
ΔABC ~ Δ [ ______ ] ...[ ______ similarity test]
Write the correct number in the given boxes from the following A. P.
– 3, – 8, – 13, – 18, . . .
Here
$t _3$ = ⬜, $t _2$ = ⬜, $t _4$ = ⬜, $t _1$ = ⬜
$t _2- t _1$ = ⬜, $t _3- t _2$ = ⬜
∴ a = ⬜, d = ⬜
→→– 3, – 8, – 13, – 18, . . .
Here
$t _3$ = ⬜, $t _2$ = ⬜, $t _4$ = ⬜, $t _1$ = ⬜
$t _2- t _1$ = ⬜, $t _3- t _2$ = ⬜
∴ a = ⬜, d = ⬜
....(2)