Given ∣a∣=2, ∣b∣=3, and a⋅b=4
For any two vectors, the magnitude of their difference is:
∣a−b∣2=∣a∣2+∣b∣2−2(a⋅b)
Substituting the given values:
∣a−b∣2=(2)2+(3)2−2(4)
∣a−b∣2=4+9−8
∣a−b∣2=5
Taking the square root:
∣a−b∣=5
Therefore, ∣a−b∣=5
CUET UG 2025 — Mathematics Statistics & Applications
Which of the following statements are correct about the Compound Annual Growth Rate (CAGR)?
(A) It can be used to compare historical returns on different investment portfolios.
(B) It helps smooth returns when growth rates are expected to be volatile and inconsistent.
(C) It is unable to track the performance of various business measures of one or multiple companies alongside one another.
(D) It can be used to calculate the average growth of a single investment.
Choose the correct answer from the options given below:
Held on 13 May 2025 · Verified 13 Jul 2026.
(A), (B) and (D) only
(A), (B) and (C) only
(A), (C) and (D) only
(B) and (D) only
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
The rise in prices before Diwali is an example of
Maneesh took a loan of ₹ 9,00,800 from bank at an interest rate of 6% per annum for 10 years. If she has to pay the loan back with the help of equal monthly installments (EMI). Then, the EMI using reduced balance method is (approx): [Given: $(1.005)^{-120}=0.5496$]
If an investment of Rs. 12000 becomes Rs. 72000 in 4 years, then the compound annual growth rate is:
Mr. X purchased a house from a company for ₹ 7,00,000 and made a down payment of ₹ 1,50,000. He repays the balance in 25 years by equal monthly installments at 9 % per annum compounded monthly. The equated monthly installment (EMI) is: [Given that : (1.0075)⁻³⁰⁰ = 0.106]
The effective rate equivalent to a nominal rate of 12% compounded quarterly is: (Given $(1.03)^4=1.1256$)
Work through every CUET UG Statistics & Applications PYQ, year by year.