ISC Maths Specimen Paper 2023 Section B Solved for ISC Class-12.  Step by step solutions as council prescribe guideline of model sample question paper.

So that student can achieve their goal in next upcoming exam of council. Visit official website CISCE for detail information about ISC Board Class-12.

## ISC Maths Specimen Paper 2023 Section B Solved for ISC Class-12

 Board ISC Class 12th (xii) Subject Maths Topic Specimen Paper Solved Syllabus Revised Syllabus Session 2022-23 Question Type Sec-B Subjective questions Section B (15 Marks) Max mark 80

### ISC Maths Specimen Paper 2023 Solved Class-12

Warning :- before viewing solution view Question Paper

### ISC SPECIMEN QUESTION PAPER 2023

MATHEMATICS

Maximum Marks: 80

Time Allowed: Three hours

(Candidates are allowed additional 15 minutes for only reading the paper. They must NOT start writing during this time).

• This Question Paper consists of three sections A, B and C.
• Candidates are required to attempt all questions from Section A and all questions EITHER from Section B OR Section C.
• Section A: Internal choice has been provided in two questions of two marks each, two questions of four marks each and two questions of six marks each.
• Section B: Internal choice has been provided in one question of two marks and one question of four marks.
• Section C: Internal choice has been provided in one question of two marks and one question of four marks.
• All working, including rough work, should be done on the same sheet as, and adjacent to the rest of the answer.
• The intended marks for questions or parts of questions are given in brackets [ ].
• Mathematical tables and graph papers are provided.

### ISC Maths Specimen Paper 2023 Solved Class-12

(a) 0
(b) 5
(c) 4
(d) 2

#### (ii) The planes 2x – y + 4z = 5 and 5x – 2·5y + 10z = 6 are

(a) parallel
(b) intersect on y axis
(c) perpendicular
(d) pass through (0, 0, 5/4)

(iii) Find a vector of magnitude of 10 units and parallel to the vector 2𝑖̂+ 3𝑗̂− 𝑘̂.

(iv) Find the position vector of a point R which divides the line joining the two-points 𝑃 and 𝑄 with position vectors 2𝑖̂+𝑗̂and 𝑖̂− 2𝑗̂respectively in the ratio of 2:1 externally.

(v) Find the equation of the plane with intercept 3 on the 𝑦 − axis and parallel to 𝑥𝑧 −plane.

#### Question 16: (i) Find the area of the triangle whose adjacent sides are 𝑖̂+ 4𝑗̂– 𝑘̂ and 𝑖̂+ 𝑗̂+ 2𝑘̂.

OR

(ii) For any two non-zero vectors 𝑎⃗ and 𝑏⃗⃗, if | 𝑎⃗.𝑏⃗⃗ |=|𝑎⃗ ×𝑏⃗⃗|, then find the angle between them.

#### Question 17: (i) Show that  …………… point of intersection.

OR

(ii) Find the equation of the plane passing through the points (0,4, −3) and (6, −4,3) if the sum of their intercepts on three axes is 0.

Question 18: If the area is bounded by the parabola 𝑦² = 16𝑥 and the line 𝑦 = 4𝑚𝑥 is 1/12 sq units, then using integration, find the value of 𝑚. (𝑚 > 0).

### SECTION B Maths ISC Specimen Paper Solved 2023 Class-12 PDF Solution

— End of ISC Maths Specimen Paper 2023 Section B Solved for ISC Class-12. :–

–: Visit also :–