CBSE Class 12 Mathematics Daily Practice Questions 12 October 2023

CBSE Class 12 Mathematics Daily Practice Questions 12 October 2023: In 2024, CBSE Class 12 examinations will commence from February 14, 2023 onwards. Hence, the candidates who will be appearing for the CBSE Class 12 exam should enhance their preparation through daily practice. Mathematics is one of those subjects that need regular practice to maintain consistency in the performance level. So the candidates can check out the daily practice questions released by CollegeDekho and start practicing them. Before starting to solve the daily practice questions, the candidates can refer to the CBSE Class 12 Mathematics exam pattern here at a glance. The candidates will have to answer the question from five sections, Section A to E, each with different question types. Candidates will not be allowed to use calculators to solve the questions.

Also Read l CBSE Class 12 Mathematics Daily Practice Questions 11 October 2023

CBSE Class 12 Mathematics Daily Practice Questions 12 October 2023

Check out the daily practice questions for 12 October 2023 here as per their sections/question-types: 

Section A: Multiple-Choice Questions

A problem in Mathematics is given to three students whose chances of solving it are 1/2, 1/3, and 1/4 respectively. If the events of their solving the problem are independent then the probability that the problem will be solved is

Section B: Very Short Answer Type Question

If a = i + i + k, a . b = 1 and a x b = j - k, then find | b |.

Section C: Short Answer Type Question

Find the equation of the plane passing through points (2, 1, 0), (3,-2,-2) and (1, 1, -7). Also, obtain its distance from the origin.

Section D: Long Answer Type Question

If the area of the region bounded by the curve y^2 = 4ax and the line x = 4a is 256/3 sq. units, then using integration, find the value of a, where a > 0.

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Section E: Case-Based Question

Electrical transmission wires which are laid down in winter are stretched tightly to accommodate expansion in summer.
Two such wires lie along the following lines:
Line 1 : (x + 1)/3 = (y - 3)/-2 = (z + 1)/-1
Line 2: x/-1 = (y - 7)/3 = (z + 7)/-2
Based on the given information, answer the following questions:
(i) Are the lines Line 1 and Line 2 coplanar? Justify your answer.
(ii) Find the point of intersection of the lines Line 1 and Line 2.

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