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For a certain frequency distribution, the value of Mean is 101 and Median is 100. Find the value of Mode.
Concept: Median of Grouped Data
Find the mode from the following information:
L = 10, h = 2, f0 = 58, f1 = 70, f2 = 42.
Concept: Mode of Grouped Data
In the following figure, in ΔPQR, seg RS is the bisector of ∠PRQ. If PS = 6, SQ = 8, PR = 15, find QR.
Concept: Similarity of Triangles
In the following figure RP: PK= 3:2, then find the value of A(ΔTRP):A(ΔTPK).
Concept: Properties of Ratios of Areas of Two Triangles
If two circles with radii 8 cm and 3 cm, respectively, touch internally, then find the distance between their centers.
Concept: Theorem of Touching Circles
In the given figure, m(arc NS) = 125°, m(arc EF) = 37°, find the measure ∠NMS.
Concept: Touching Circles
Prove the following theorem:
Tangent segments drawn from an external point to the circle are congruent.
Concept: Tangent Segment Theorem
ΔSHR ~ ΔSVU. In ΔSHR, SH = 4.5 cm, HR = 5.2 cm, SR = 5.8 cm and `"SH"/("SV")=3/5`. Construct ΔSVU.
Concept: Basic Geometric Constructions
∆ABC ~ ∆LMN. In ∆ABC, AB = 5.5 cm, BC = 6 cm, CA = 4.5 cm. Construct ∆ABC and ∆LMN such that `"BC"/"MN" = 5/4`.
Concept: Construction of Similar Triangle
Find the slope of the line passing through the points A(2, 3) and B(4, 7).
Concept: Slope of a Line
Determine whether the points are collinear.
A(1, −3), B(2, −5), C(−4, 7)
Concept: Distance Formula
A person standing on the bank of river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60°. When he moves 40 m away from the bank, he finds the angle of elevation to be 30°. Find the height of the tree and width of the river. `(sqrt 3=1.73)`
Concept: Heights and Distances
Using Euler’s formula, find V if E = 30, F = 12.
Concept: Euler's Formula
Find the diagonal of a square whose side is 10 cm.
Concept: Surface Area and Volume of Three Dimensional Figures
In Fig. 3, AP and BP are tangents to a circle with centre O, such that AP = 5 cm and ∠APB = 60°. Find the length of chord AB.
Concept: Areas of Sector and Segment of a Circle
A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank which is 10 m in diameter and 2 m deep. If the water flows through the pipe at the rate of 4 km per hour, in how much time will the tank be filled completely?
Concept: Surface Area and Volume of Different Combination of Solid Figures
निम्नलिखित अव्यय का अर्थपूर्ण वाक्य में प्रयोग कीजिए:
के लिए
Concept: शब्द भेद > अविकारी शब्द (अव्यय)
कृति पूर्ण कीजिए:
| संधि शब्द | संधि विच्छेद | संधि भेद |
| दुस्साहस | .......... | .......... |
Concept: संधि और उनके भेद
कृति पूर्ण कीजिए:
| शब्द | संधि-विच्छेद | संधि भेद |
| सदैव | ___ + ___ | ______ |
Concept: संधि और उनके भेद
निम्नलिखित जानकारी के आधार पर लगभग 50 से 60 शब्दों में विज्ञापन तैयार कीजिए:
| फूलों की प्रदर्शनी | |||
| विशेषताएँ | स्थान | समय | संपर्क |
Concept: विज्ञापन लेखन
