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NCERT Class 10 Maths Solutions: Pair of Linear Equations in Two Variables Question: On comparing the ratios $𝐚𝟏𝐚𝟐,𝐛𝟏𝐛𝟐$ and $𝐜𝟏𝐜𝟐$, find out whether the following pair of linear equations are consistent, or inconsistent. 3x + 2y = 5 ; 2x – 3y = 7 Concept in a Minute: To determine if a pair of linear […]

NCERT Class 10 Maths Solutions: Introduction to Trigonometry Question: (1 + tan θ + sec θ) (1 + cot θ − cosec θ) = ______. A. 0 B. 1 C. 2 D. -1 E. none of these Concept in a Minute: Trigonometric Identities: Specifically, the fundamental Pythagorean identities and relationships between trigonometric functions (tan, cot,

NCERT Class 10 Maths Solutions: Coordinate Geometry Question: Find a relation between x and y such that the point (x, y) is equidistant from the point (3, 6) and (−3, 4). Concept in a Minute: The distance formula between two points (x1, y1) and (x2, y2) is given by sqrt((x2-x1)^2 + (y2-y1)^2). The concept of

NCERT Class 10 Maths Solutions: Circles Question: If tangents PA and PB from a point P to a circle with centre O are inclined to each other an angle of 80°, then ∠POA is equal to ______. A. 50° B. 60° C. 70° D. 80° E. 40° Concept in a Minute: Tangents from an external

NCERT Class 10 Maths Solutions: Arithmetic Progressions Question: Choose the correct choice in the following and justify: 30th term of the AP: 10, 7, 4, …, is ______. A. 97 B. 77 C. –77 D. – 87 Concept in a Minute: Arithmetic Progression (AP): A sequence of numbers such that the difference between the consecutive

NCERT Class 10 Maths Solutions: Areas Related to Circles Question: A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle. [Use π = 3.14 and $\sqrt{3=1.73}$ ] Concept in a Minute: The area of a segment of a circle is the

Human Impact on the Environment Human Impact on the Environment: Deforestation, Pollution, Unsustainable Practices, Conservation Efforts Definition Human impact on the environment refers to the detrimental changes humans have made to the natural world. This encompasses a wide range of issues, including deforestation, pollution of air, water, and land, unsustainable resource consumption, climate change, and

Biogeochemical Cycles: Essential Earth Processes Definition Biogeochemical cycles are pathways through which chemical substances move through both biotic (living) and abiotic (non-living) components of the Earth’s systems. These cycles are crucial for sustaining life as they transport essential elements like water, carbon, nitrogen, and oxygen. Explanation Biogeochemical cycles involve the cycling of elements through different

Biodegradable vs. Non-Biodegradable: Examples & Impacts Definition Biodegradable substances are materials that can be broken down by natural processes, primarily by the action of microorganisms (bacteria, fungi) and other living organisms, into simpler substances like carbon dioxide, water, and organic compounds. Non-biodegradable substances, on the other hand, cannot be broken down by these natural processes

Environmental Challenges Definition Environmental problems refer to the detrimental impacts of human activities on the natural environment. This includes pollution (air, water, soil), deforestation, the greenhouse effect, and global warming. These problems degrade the quality of air, water, and soil, threaten biodiversity, and disrupt Earth’s climate system. Explanation Pollution: The contamination of the environment with